some silly Clojure to explore continued fractions

everything-10.txt

{36369/3601 2, 3863/2839 2, 3845/2821 2, 3821/2797 2, 3693/2669 2, 3641/2617 2, 3639/2615 2, 3633/2609 2, 3623/2599 2, 3615/2591 2, 3473/2449 2, 3453/2429 2, 3211/2187 4, 3185/2161 2, 3081/2057 2, 2001/977 2, 1997/973 2, 1985/961 2, 1967/943 2, 1953/929 2, 1947/923 4, 1937/913 2, 1933/909 2, 1927/903 2, 1913/889 2, 1909/885 2, 1889/865 2, 1881/857 2, 1869/845 2, 1867/843 2, 1821/797 2, 1819/795 4, 1811/787 2, 1793/769 2, 1723/699 4, 1719/695 6, 1717/693 2, 1683/659 2, 1645/621 2, 1635/611 2, 1633/609 2, 1625/601 2, 1617/593 2, 1597/573 2, 1595/571 2, 1593/569 2, 1589/565 2, 1583/559 2, 1575/551 2, 1555/531 2, 1519/495 2, 1517/493 2, 1511/487 2, 1505/481 2, 1499/475 2, 1493/469 4, 1491/467 2, 1487/463 2, 1485/461 4, 1483/459 6, 1477/453 4, 1471/447 2, 1455/431 4, 1445/421 4, 1443/419 2, 1441/417 2, 1439/415 2, 1437/413 2, 1435/411 4, 1425/401 6, 1419/395 4, 1415/391 2, 1413/389 2, 1411/387 2, 1389/365 4, 1383/359 4, 1373/349 4, 1369/345 2, 1363/339 4, 1361/337 2, 1355/331 4, 1353/329 4, 1351/327 2, 1347/323 4, 1341/317 6, 1333/309 2, 1331/307 4, 1327/303 2, 1321/297 2, 1317/293 8, 1313/289 2, 1311/287 8, 1309/285 4, 1307/283 4, 1291/267 6, 1273/249 2, 1271/247 4, 1269/245 2, 1267/243 6, 1265/241 2, 1263/239 6, 1261/237 6, 1257/233 2, 1255/231 8, 1251/227 2, 1247/223 4, 1245/221 10, 1239/215 2, 1235/211 6, 1231/207 2, 1229/205 4, 1227/203 4, 1225/201 8, 1223/199 6, 1221/197 2, 1219/195 4, 1217/193 2, 1215/191 4, 1213/189 2, 1211/187 6, 1207/183 4, 1205/181 4, 1203/179 2, 1201/177 2, 1197/173 6, 1195/171 2, 1193/169 6, 1191/167 12, 1189/165 4, 1187/163 8, 1185/161 10, 1183/159 2, 1181/157 2, 1179/155 2, 1177/153 8, 1175/151 2, 1173/149 10, 1171/147 2, 1169/145 4, 1167/143 10, 1165/141 8, 1163/139 14, 1161/137 16, 1159/135 4, 1157/133 4, 1155/131 4, 1153/129 14, 1151/127 24, 1149/125 4, 1147/123 2, 1145/121 12, 1143/119 10, 1141/117 12, 1139/115 10, 1137/113 14, 1135/111 8, 1133/109 16, 1131/107 14, 1127/103 10, 1125/101 12, 1123/99 12, 1121/97 6, 1119/95 8, 1117/93 6, 1115/91 4, 1113/89 4, 1111/87 4, 1109/85 2, 1103/79 2, 1097/73 2, 1095/71 4, 1093/69 2, 39005/7261 2, 35359/3615 2, 7717/5669 2, 7699/5651 2, 3905/1857 2, 3887/1839 2, 3863/1815 2, 3861/1813 2, 3859/1811 2, 3849/1801 2, 3821/1773 2, 3789/1741 2, 3705/1657 2, 3559/1511 4, 3485/1437 2, 3467/1419 2, 3391/1343 2, 3211/1163 2, 3201/1153 4, 3011/963 4, 2985/937 2, 2975/927 4, 2969/921 2, 2955/907 4, 2953/905 2, 2921/873 2, 2919/871 2, 2911/863 2, 2871/823 2, 2809/761 2, 2799/751 2, 2757/709 2, 2743/695 2, 2737/689 2, 2711/663 2, 2707/659 2, 2697/649 2, 2689/641 2, 2669/621 2, 2667/619 6, 2655/607 2, 2649/601 2, 2633/585 2, 2603/555 2, 2595/547 2, 2589/541 2, 2541/493 2, 2539/491 2, 2537/489 4, 2531/483 2, 2527/479 2, 2525/477 2, 2521/473 2, 2519/471 2, 2517/469 2, 2513/465 2, 2509/461 2, 2507/459 2, 2501/453 2, 2499/451 4, 2491/443 2, 2489/441 2, 2477/429 4, 2469/421 6, 2465/417 2, 2453/405 4, 2451/403 2, 2449/401 4, 2447/399 2, 2445/397 2, 2439/391 4, 2435/387 4, 2429/381 2, 2425/377 2, 2419/371 2, 2415/367 2, 2409/361 2, 2407/359 2, 2403/355 2, 2397/349 2, 2389/341 2, 2387/339 2, 2379/331 2, 2377/329 4, 2375/327 4, 2373/325 2, 2365/317 2, 2363/315 2, 2361/313 6, 2359/311 4, 2357/309 2, 2355/307 2, 2351/303 2, 2337/289 6, 2333/285 2, 2329/281 10, 2319/271 6, 2317/269 6, 2315/267 2, 2307/259 2, 2305/257 2, 2299/251 4, 2297/249 6, 2295/247 2, 2293/245 6, 2291/243 12, 2289/241 4, 2287/239 8, 2283/235 10, 2281/233 6, 2279/231 4, 2277/229 2, 2275/227 6, 2273/225 10, 2269/221 2, 2265/217 2, 2263/215 2, 2261/213 4, 2259/211 4, 2257/209 6, 2255/207 2, 2249/201 14, 2245/197 4, 2239/191 8, 2237/189 8, 2235/187 2, 2227/179 2, 2225/177 2, 2219/171 2, 2213/165 4, 2203/155 2, 2187/139 2, 2179/131 2, 34709/3989 2, 34451/3731 2, 34307/3587 2, 6419/5395 2, 2961/1937 2, 2891/1867 2, 2857/1833 2, 2675/1651 2, 8023/4951 2, 2621/1597 4, 2577/1553 2, 2565/1541 2, 2529/1505 4, 2481/1457 2, 2463/1439 2, 2435/1411 2, 7217/4145 2, 2399/1375 2, 2397/1373 2, 2393/1369 2, 2391/1367 2, 2361/1337 2, 2301/1277 2, 2253/1229 2, 2251/1227 2, 2225/1201 2, 2129/1105 2, 2087/1063 2, 4009/937 2, 4007/935 2, 3995/923 2, 3979/907 2, 3971/899 2, 3913/841 2, 3907/835 4, 3901/829 2, 3889/817 4, 3883/811 2, 3839/767 2, 3829/757 2, 3823/751 4, 3815/743 2, 3803/731 2, 3793/721 4, 3791/719 6, 3767/695 4, 3761/689 2, 3755/683 2, 3733/661 4, 3725/653 2, 3719/647 4, 3709/637 2, 3707/635 2, 3701/629 2, 3691/619 2, 3661/589 2, 3659/587 2, 3647/575 2, 3631/559 4, 3595/523 2, 3577/505 2, 3575/503 4, 3565/493 2, 3559/487 2, 3553/481 2, 3541/469 2, 3539/467 2, 3521/449 2, 3509/437 2, 3505/433 2, 3499/427 4, 3497/425 6, 3487/415 2, 3475/403 2, 3445/373 2, 3439/367 4, 3433/361 2, 3431/359 4, 3425/353 6, 3419/347 6, 3413/341 2, 3409/337 4, 3407/335 2, 3403/331 2, 3397/325 2, 3395/323 2, 3391/319 6, 3385/313 2, 3383/311 4, 3377/305 8, 3353/281 2, 3313/241 2, 3305/233 2, 3283/211 2, 3271/199 2, 38897/7153 2, 33541/3845 2, 33225/3529 2, 32891/3195 2, 8075/3979 2, 7739/3643 2, 7517/3421 2, 7295/3199 2, 7209/3113 2, 6905/2809 2, 6033/1937 4, 5981/1885 4, 5911/1815 2, 5859/1763 2, 5589/1493 2, 5567/1471 2, 5545/1449 2, 5501/1405 4, 5449/1353 2, 5421/1325 2, 5415/1319 2, 5407/1311 2, 5389/1293 4, 5363/1267 2, 5359/1263 2, 5313/1217 2, 5305/1209 2, 5283/1187 2, 5235/1139 2, 5223/1127 2, 5193/1097 2, 5179/1083 4, 5045/949 2, 5031/935 2, 5025/929 2, 5023/927 2, 5021/925 2, 5019/923 2, 5011/915 2, 4995/899 2, 4993/897 4, 4991/895 2, 4983/887 2, 4949/853 2, 4913/817 2, 4901/805 4, 4895/799 2, 4865/769 2, 4859/763 2, 4811/715 2, 4763/667 2, 4747/651 2, 4733/637 6, 4727/631 2, 4723/627 2, 4697/601 2, 4687/591 2, 4685/589 2, 4677/581 4, 4669/573 2, 4667/571 2, 4665/569 2, 4663/567 2, 4657/561 2, 4651/555 4, 4647/551 2, 4645/549 2, 4639/543 2, 4637/541 2, 4623/527 2, 4607/511 2, 4605/509 4, 4603/507 4, 4595/499 4, 4589/493 2, 4587/491 2, 4581/485 2, 4579/483 4, 4575/479 6, 4565/469 2, 4563/467 2, 4559/463 2, 4541/445 2, 4535/439 2, 4533/437 4, 4531/435 2, 4529/433 2, 4523/427 2, 4519/423 4, 4515/419 2, 4513/417 2, 4501/405 2, 4485/389 2, 4469/373 4, 4457/361 2, 4393/297 2, 7097/4025 2, 6961/3889 2, 6959/3887 2, 4999/1927 2, 8049/2929 2, 7717/2597 2, 7699/2579 2, 4547/1475 2, 7559/2439 2, 7553/2433 2, 4493/1421 2, 4483/1411 4, 4459/1387 2, 7423/2303 2, 4441/1369 2, 4399/1327 2, 7261/2141 2, 7221/2101 2, 7209/2089 2, 7207/2087 2, 4283/1211 2, 4255/1183 2, 6139/1019 2, 6121/1001 2, 6059/939 2, 6037/917 2, 6011/891 2, 5979/859 2, 5967/847 4, 5961/841 2, 5949/829 2, 5931/811 4, 5909/789 4, 5907/787 4, 5897/777 2, 5837/717 2, 5821/701 4, 5817/697 2, 5809/689 4, 5779/659 4, 5743/623 2, 5741/621 2, 5739/619 2, 5733/613 2, 5719/599 2, 5713/593 2, 5703/583 2, 5683/563 8, 5669/549 6, 5667/547 4, 5661/541 2, 5659/539 2, 5607/487 2, 5541/421 2, 36283/6587 2, 6007/3959 2, 5073/3025 4, 4773/2725 4, 4767/2719 4, 4731/2683 2, 4569/2521 4, 4119/2071 8, 7859/1715 4, 7751/1607 6, 7703/1559 2, 7613/1469 2, 7589/1445 2, 7555/1411 2, 7535/1391 2, 7519/1375 2, 7517/1373 2, 7495/1351 2, 7321/1177 2, 7295/1151 2, 7211/1067 2, 7111/967 4, 7097/953 2, 7079/935 2, 7073/929 4, 7069/925 2, 7039/895 2, 7019/875 4, 7009/865 2, 7003/859 2, 6985/841 2, 6967/823 2, 6937/793 2, 6935/791 2, 6925/781 2, 6883/739 2, 6823/679 2, 6821/677 2, 6817/673 2, 6785/641 4, 6781/637 4, 6751/607 2, 6733/589 2, 6731/587 4, 6721/577 2, 6713/569 2, 6697/553 2, 6679/535 2, 6619/475 4, 33123/6499 2, 38805/3989 2, 38465/3649 2, 4255/3231 2, 4119/3095 2, 6059/2987 2, 5821/2749 2, 5315/2243 2, 5189/2117 2, 6953/1833 2, 6823/1703 2, 6769/1649 2, 6763/1643 2, 6751/1631 2, 6577/1457 4, 6519/1399 2, 6419/1299 2, 6359/1239 2, 6321/1201 2, 6303/1183 2, 6289/1169 6, 6283/1163 2, 6259/1139 2, 6253/1133 2, 6251/1131 2, 6219/1099 2, 6211/1091 2, 8131/963 2, 8115/947 2, 8101/933 2, 8095/927 2, 8081/913 4, 8075/907 2, 8065/897 2, 8061/893 2, 8051/883 2, 8049/881 2, 8031/863 2, 8027/859 2, 8005/837 6, 7999/831 2, 7997/829 2, 7995/827 8, 7985/817 2, 7957/789 2, 7955/787 4, 7953/785 8, 7949/781 4, 7943/775 2, 7937/769 4, 7929/761 6, 7927/759 4, 7925/757 2, 7919/751 2, 7895/727 2, 7891/723 2, 7863/695 2, 7857/689 2, 7841/673 2, 7831/663 4, 7809/641 2, 7713/545 2, 7709/541 2, 7675/507 2, 7669/501 4, 11835/3643 2, 11145/2953 2, 10913/2721 2, 10743/2551 2, 10627/2435 2, 10621/2429 2, 10605/2413 2, 10421/2229 4, 10191/1999 2, 10173/1981 2, 10143/1951 2, 10069/1877 2, 10067/1875 2, 9891/1699 2, 9799/1607 2, 9729/1537 2, 9627/1435 2, 9523/1331 2, 9483/1291 2, 9451/1259 2, 9393/1201 2, 9353/1161 2, 9345/1153 2, 9319/1127 4, 9299/1107 2, 9285/1093 2, 9253/1061 2, 9203/1011 2, 9127/935 2, 9117/925 2, 9081/889 2, 9077/885 4, 9071/879 4, 9059/867 2, 9035/843 2, 9025/833 2, 9023/831 2, 9019/827 2, 9003/811 2, 8995/803 2, 8993/801 2, 8821/629 2, 45771/4811 2, 10463/3295 2, 13379/4163 2, 10385/3217 2, 13325/4109 2, 12167/2951 2, 9165/1997 2, 11713/2497 2, 9049/1881 2, 9029/1861 2, 8857/1689 2, 11371/2155 4, 11347/2131 2, 8807/1639 2, 8803/1635 2, 8763/1595 2, 8717/1549 2, 8587/1419 2, 8551/1383 2, 8523/1355 4, 8499/1331 2, 8427/1259 4, 8327/1159 2, 8277/1109 2, 8231/1063 2, 10211/995 2, 10207/991 2, 10199/983 2, 10169/953 2, 10159/943 2, 10153/937 2, 10147/931 2, 10145/929 4, 10129/913 4, 10123/907 2, 10105/889 2, 10103/887 2, 10075/859 2, 10067/851 2, 9919/703 2, 9875/659 2, 14927/4687 2, 14903/4663 4, 14901/4661 2, 8891/2747 2, 8885/2741 2, 14647/4407 2, 14433/4193 2, 12111/1871 2, 12097/1857 2, 11971/1731 2, 11891/1651 2, 11787/1547 2, 11681/1441 2, 11639/1399 2, 11577/1337 2, 11457/1217 2, 11417/1177 4, 11393/1153 2, 11321/1081 2, 11303/1063 2, 11219/979 2, 11117/877 2, 11109/869 2, 9143/4023 2, 8941/3821 2, 16341/5077 6, 16281/5017 2, 15603/4339 2, 15461/4197 2, 9707/2539 2, 9451/2283 2, 9299/2131 4, 10961/1745 2, 10585/1369 2, 10543/1327 4, 10405/1189 4, 10397/1181 2, 10301/1085 2, 12225/961 4, 12029/765 2, 11115/7019 2, 15493/3205 2, 15287/2999 2, 15175/2887 2, 14705/2417 2, 14641/2353 2, 14539/2251 2, 14155/1867 2, 13907/1619 2, 13901/1613 2, 13757/1469 2, 13699/1411 4, 13609/1321 2, 13607/1319 6, 13511/1223 2, 13379/1091 2, 42691/5827 2, 41315/4451 2, 14917/3653 2, 16347/3035 2, 16259/2947 2, 15985/2673 2, 15947/2635 2, 15865/2553 4, 15831/2519 2, 13293/2029 2, 15675/2363 2, 13181/1917 2, 15549/2237 4, 13107/1843 2, 13083/1819 6, 15461/2149 2, 13045/1781 2, 12853/1589 2, 12713/1449 2, 12703/1439 2, 12655/1391 2, 12611/1347 4, 12597/1333 2, 12565/1301 2, 12553/1289 4, 12543/1279 6, 12513/1249 2, 12461/1197 2, 12455/1191 2, 12415/1151 2, 12381/1117 2, 12345/1081 2, 12311/1047 2, 44727/6839 2, 41613/5773 2, 13813/3573 2, 12687/2447 2, 12623/2383 2, 12587/2347 2, 12567/2327 2, 12443/2203 2, 12429/2189 6, 12413/2173 2, 16221/1885 2, 16103/1767 2, 16099/1763 2, 15997/1661 2, 15989/1653 2, 15969/1633 2, 15921/1585 2, 15893/1557 2, 15891/1555 2, 15889/1553 2, 15887/1551 2, 15823/1487 2, 15795/1459 2, 15723/1387 2, 11591/4423 2, 13133/3917 2, 13867/2603 2, 13857/2593 4, 13811/2547 2, 13515/2251 2, 13395/2131 2, 14959/1647 2, 14949/1637 2, 14945/1633 2, 14939/1627 2, 14899/1587 2, 14759/1447 2, 14587/1275 2, 14557/1245 2, 44705/4769 2, 23713/7329 4, 21461/5077 2, 20171/3787 2, 19899/3515 2, 18925/2541 2, 18723/2339 2, 18569/2185 2, 18385/2001 2, 18337/1953 2, 18255/1871 4, 18183/1799 2, 18163/1779 2, 18151/1767 2, 18119/1735 2, 56723/7571 2, 19331/3971 2, 18659/3299 4, 18577/3217 4, 20103/2695 2, 19505/2097 2, 16729/1369 2, 16697/1337 2, 53583/5455 2, 20497/6161 2, 24349/5917 2, 17569/3233 2, 17371/3035 2, 17317/2981 4, 17049/2713 2, 16993/2657 2, 16845/2509 2, 16553/2217 2, 20471/2039 4, 20419/1987 2, 20411/1979 2, 20113/1681 2, 19991/1559 2, 16473/3161 4, 18101/2741 2, 17849/2489 2, 17827/2467 2, 17807/2447 2, 17747/2387 2, 17639/2279 2, 17521/2161 2, 17507/2147 2, 17489/2129 2, 19391/1983 2, 19283/1875 2, 19281/1873 4, 19275/1867 2, 19201/1793 2, 19175/1767 2, 19049/1641 2, 18947/1539 2, 53503/7423 2, 17879/5591 4, 17567/5279 4, 17225/4937 2, 23257/2777 2, 22871/2391 4, 22851/2371 2, 22819/2339 4, 22811/2331 4, 22737/2257 2, 22669/2189 2, 22631/2151 2, 22593/2113 2, 52433/7377 2, 18171/4859 4, 17715/4403 2, 17447/4135 2, 23265/3809 2, 23203/3747 2, 22615/3159 2, 24553/3049 2, 24499/2995 2, 24011/2507 2, 23869/2365 2, 21495/2039 4, 21359/1903 2, 17861/7621 2, 19589/5253 2, 18993/4657 2, 18439/4103 2, 22471/4039 2, 21389/2957 2, 21331/2899 2, 20969/2537 2, 20893/2461 2, 20833/2401 2, 19387/6075 4, 19371/6059 4, 19343/6031 2, 21223/3815 2, 21123/3715 2, 21013/3605 2, 20817/3409 2, 20631/3223 2, 22429/2973 2, 21799/2343 2, 21699/2243 4, 30565/5989 2, 29341/4765 2, 28451/3875 2, 27155/2579 2, 27103/2527 2, 49939/8979 2, 28769/5217 2, 26731/3179 4, 26489/3961 2, 31281/4657 2, 30997/4373 2, 25697/3169 2, 25103/2575 2, 25011/2483 2, 25001/2473 2, 24979/2451 2, 31677/6077 2, 24737/3233 2, 26573/3021 2, 26089/2537 4, 26081/2529 2, 25319/4839 2, 32381/3709 2, 32105/3433 2, 26829/7373 4, 26125/4621 2, 26023/4519 2, 31007/3359 2, 27895/5367 2, 27693/5165 2, 30353/3729 2, 29797/3173 4, 29671/3047 2, 29527/2903 2, 29199/3599 2, 28741/3141 2, 30407/2759 2, 191/159 2, 189/157 2, 185/153 4, 183/151 4, 181/149 2, 179/147 4, 175/143 2, 173/141 2, 171/139 2, 169/137 12, 167/135 2, 163/131 6, 127/95 2, 123/91 2, 121/89 8, 119/87 4, 117/85 14, 115/83 10, 113/81 8, 111/79 12, 109/77 6, 107/75 4, 105/73 2, 103/71 2, 101/69 2, 99/67 8, 97/65 10, 63/31 22, 61/29 34, 59/27 10, 57/25 26, 55/23 26, 53/21 12, 51/19 32, 49/17 34, 47/15 40, 45/13 40, 43/11 50, 41/9 94, 39/7 102, 37/5 144, 35/3 180, 36401/3601 2, 5505/4513 2, 3969/2977 2, 4021/2965 2, 3721/2729 2, 3597/2605 2, 3697/2641 2, 3353/2361 4, 3559/2503 2, 2007/1015 2, 1887/895 2, 1881/889 6, 1873/881 2, 1867/875 2, 1861/869 2, 1813/821 2, 1919/863 2, 1799/807 4, 1797/805 2, 1795/803 2, 1895/839 2, 1891/835 2, 1759/767 2, 1749/757 4, 1747/755 2, 1847/791 2, 1733/741 4, 1693/701 4, 1691/699 2, 1631/639 2, 1619/627 2, 1615/623 2, 1613/621 2, 1603/611 4, 1703/647 2, 1699/643 2, 1567/575 6, 1657/601 2, 1549/557 2, 1545/553 2, 1541/549 2, 1597/541 2, 1499/507 2, 1473/481 4, 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619/395 2, 615/391 4, 613/389 2, 1941/1141 2, 1937/1137 2, 671/383 2, 667/379 4, 661/373 2, 1967/1103 2, 655/367 4, 649/361 2, 647/359 2, 643/355 4, 2011/1083 2, 1993/1065 2, 699/347 2, 691/339 4, 689/337 2, 681/329 2, 679/327 2, 727/311 2, 723/307 4, 721/305 8, 711/295 4, 707/291 4, 767/287 2, 761/281 2, 757/277 14, 749/269 2, 743/263 2, 797/253 2, 793/249 6, 791/247 2, 783/239 4, 779/235 4, 777/233 2, 773/229 2, 771/227 2, 769/225 2, 831/223 4, 827/219 4, 825/217 2, 823/215 2, 821/213 4, 813/205 2, 811/203 2, 807/199 8, 805/197 2, 863/191 8, 859/187 4, 857/185 2, 853/181 4, 851/179 4, 845/173 2, 839/167 4, 835/163 8, 895/159 10, 893/157 2, 883/147 2, 881/145 2, 875/139 10, 873/137 16, 871/135 4, 869/133 8, 867/131 10, 865/129 14, 927/127 8, 923/123 6, 921/121 6, 919/119 2, 917/117 4, 913/113 4, 911/111 16, 909/109 16, 907/107 10, 903/103 12, 901/101 4, 899/99 2, 897/97 10, 959/95 24, 955/91 26, 953/89 14, 949/85 14, 947/83 10, 943/79 16, 941/77 10, 937/73 10, 935/71 4, 931/67 6, 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2, 3301/773 2, 3347/755 2, 3383/727 2, 3371/715 2, 3481/633 2, 3477/629 4, 3461/613 2, 3517/605 2, 3499/587 2, 3545/569 2, 3533/557 2, 3527/551 2, 3523/547 2, 3581/541 4, 3579/539 2, 3577/537 2, 3573/533 2, 3571/531 4, 3605/501 4, 3603/499 6, 3597/493 4, 3593/489 2, 3591/487 2, 3647/479 2, 3637/469 2, 3635/467 2, 3617/449 2, 3699/403 4, 3697/401 6, 3693/397 4, 3689/393 2, 3687/391 4, 3681/385 2, 3739/379 4, 3737/377 2, 3733/373 4, 3727/367 2, 3721/361 10, 3713/353 8, 3773/349 4, 3769/345 4, 3761/337 2, 3755/331 2, 3751/327 2, 3749/325 2, 3789/301 2, 7457/3777 2, 7641/3641 4, 6301/2941 2, 7843/3395 2, 6439/2759 2, 6597/2597 2, 6593/2593 2, 5179/2011 2, 6643/2579 2, 6633/2569 2, 8191/3103 2, 6711/2519 2, 5247/1951 2, 6787/2403 2, 5419/1739 2, 5503/1695 2, 7093/2133 2, 7129/2105 2, 7113/2089 2, 7111/2087 2, 5625/1561 2, 5613/1549 2, 5679/1487 2, 5667/1475 6, 4111/1007 4, 5781/1397 2, 4189/957 2, 4161/929 4, 5939/1235 2, 5977/1209 2, 4277/853 2, 4267/843 2, 5997/1165 2, 6043/1147 2, 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6655/543 2, 6647/535 2, 6639/527 4, 6627/515 2, 6675/499 2, 38189/3789 2, 4987/3227 2, 5207/2999 2, 5469/2749 2, 5545/2633 2, 5937/2257 2, 6059/2123 2, 6161/2033 2, 6525/1693 2, 6517/1685 4, 6571/1611 2, 6567/1607 2, 6621/1597 2, 6619/1595 4, 6607/1583 6, 6631/1543 2, 6661/1509 2, 6701/1485 2, 6761/1417 2, 6817/1345 2, 6875/1339 4, 6859/1323 2, 6903/1303 2, 6941/1277 2, 6931/1267 2, 7025/1169 2, 7087/1103 2, 7135/1087 2, 7189/1013 2, 7231/991 2, 7263/959 4, 7285/917 2, 7281/913 6, 7275/907 2, 7265/897 2, 7321/889 2, 7315/883 2, 7309/877 2, 7301/869 2, 7399/775 2, 7455/767 6, 7453/765 2, 7445/757 2, 7427/739 2, 7463/711 2, 7513/697 4, 7505/689 2, 7583/639 4, 7555/611 2, 7647/575 2, 7653/517 2, 36925/4061 2, 37315/3619 2, 13675/5771 2, 11611/3771 2, 11597/3757 2, 13171/4243 2, 11701/3669 2, 13271/4151 2, 10611/2707 2, 10927/2383 2, 9263/1999 2, 10969/2361 2, 9431/1847 2, 9421/1837 2, 11139/2147 4, 11137/2145 2, 11181/2125 2, 9493/1781 2, 9487/1775 2, 9483/1771 2, 9533/1757 2, 11233/2049 4, 9557/1717 2, 9549/1709 2, 9547/1707 2, 9685/1589 2, 9817/1465 2, 9859/1379 2, 9945/1337 4, 8207/1007 2, 8203/1003 2, 8249/985 2, 10063/1199 2, 8225/961 4, 8277/949 2, 8303/911 2, 10171/1115 2, 8297/905 2, 8349/893 2, 8331/875 2, 8329/873 2, 10239/1055 4, 10237/1053 2, 8377/857 2, 10221/1037 4, 8407/823 2, 8405/821 4, 8421/773 6, 8479/767 2, 8509/733 6, 8501/725 2, 8497/721 4, 45865/4297 2, 10261/4085 2, 10895/3439 2, 14057/4361 2, 14081/4321 2, 11101/3261 2, 11289/3065 2, 8285/1981 2, 8297/1929 2, 8351/1919 4, 8333/1901 2, 8501/1749 2, 8607/1663 2, 12007/2311 2, 12041/2281 6, 12073/2249 2, 12127/2239 2, 8757/1493 2, 8877/1357 2, 8871/1351 2, 8867/1347 6, 8933/1285 2, 8967/1255 2, 9007/1231 2, 8995/1219 2, 9109/1141 4, 9103/1135 2, 9095/1127 2, 9139/1107 2, 9171/1075 2, 9279/991 2, 9255/967 2, 9307/955 2, 9339/923 6, 9331/915 2, 9327/911 2, 9321/905 2, 9313/897 2, 9371/891 2, 9369/889 2, 9353/873 2, 9347/867 6, 9377/833 2, 9435/827 2, 9465/793 2, 9627/635 2, 9943/3383 2, 8497/2769 2, 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3619/386 2, 3617/384 2, 3807/382 2, 3801/376 4, 3790/367 2, 3791/366 4, 3784/361 6, 3776/353 4, 3777/352 2, 3820/333 2, 3817/328 2, 3814/327 2, 3815/326 2, 3740/317 2, 3712/289 2, 40651/4458 2, 33562/3259 2, 7667/3666 2, 6450/2707 4, 5213/2044 2, 5189/2020 2, 6722/2531 2, 6875/2426 2, 5254/1831 2, 5284/1797 2, 5468/1789 2, 6923/2218 2, 5484/1741 2, 5387/1706 2, 7159/2134 2, 5591/1654 2, 5559/1558 2, 5727/1534 2, 5713/1520 2, 5704/1513 2, 5643/1450 4, 5641/1448 2, 4190/1023 2, 4180/1013 2, 4172/1005 2, 4170/1003 2, 4165/996 2, 5834/1387 2, 4222/991 2, 4220/989 2, 4127/958 4, 5872/1361 2, 4125/956 2, 4207/974 2, 4120/953 2, 5782/1335 2, 5778/1331 6, 4198/967 4, 4154/923 2, 4150/919 2, 4132/901 2, 5958/1255 2, 4306/883 2, 4351/862 2, 5933/1164 4, 4338/851 2, 4337/848 2, 4332/845 12, 4253/828 2, 4239/814 2, 4234/811 2, 4231/806 4, 4286/799 2, 4278/791 2, 4266/779 2, 6121/1096 2, 6031/1070 2, 4434/755 2, 4435/754 2, 4468/725 2, 4463/718 2, 4378/699 2, 4452/709 2, 4450/707 2, 4375/694 2, 4362/683 2, 4414/671 4, 4398/655 4, 4396/653 2, 4391/646 4, 4386/643 2, 4574/639 2, 4571/634 2, 4561/624 2, 4554/619 2, 4548/613 4, 4549/612 2, 4580/581 2, 4503/566 2, 4487/550 2, 4541/540 2, 4539/538 2, 4537/536 2, 4516/517 2, 4703/510 2, 4700/509 8, 4701/508 2, 4699/506 4, 4695/502 2, 4691/498 2, 4684/493 2, 4733/476 2, 4723/466 2, 4712/457 2, 4708/453 4, 4639/446 4, 4706/451 2, 4637/444 4, 4704/449 2, 4630/439 6, 4629/436 2, 4624/433 2, 4623/430 2, 4666/411 4, 4664/409 2, 4658/403 2, 4657/400 2, 4651/394 2, 4830/383 2, 4850/339 2, 4738/291 2, 6484/3829 2, 6437/3716 2, 4206/1999 2, 4197/1988 2, 6930/3251 2, 6974/3231 2, 4303/1902 2, 4262/1799 2, 7219/2962 2, 4376/1721 2, 7401/2888 2, 4352/1697 2, 7351/2838 2, 4408/1689 2, 4402/1683 2, 7538/2771 2, 4506/1595 2, 7696/2481 4, 7781/2500 2, 4638/1471 2, 4712/1481 2, 4848/1361 2, 4754/1331 2, 4838/1351 2, 8187/2138 2, 8101/2052 2, 4895/1214 2, 4979/1234 2, 4882/1203 2, 4962/1219 2, 4920/1177 2, 4916/1173 2, 4910/1167 2, 4908/1165 2, 4896/1153 2, 5069/1132 2, 5116/1117 2, 5113/1112 2, 5102/1103 2, 5099/1098 6, 5090/1091 4, 5009/1072 2, 5004/1069 2, 5043/1042 2, 5211/1018 4, 5198/1007 2, 5246/991 2, 5231/974 2, 5146/955 2, 5168/913 2, 5155/898 2, 5367/854 4, 5364/853 2, 5362/851 2, 5355/842 2, 5350/839 4, 5270/823 2, 5269/820 2, 5255/806 2, 5306/795 2, 5302/791 2, 5289/776 2, 5282/771 2, 5283/770 2, 5457/752 2, 5450/747 2, 5451/746 4, 5501/732 2, 5493/724 2, 5394/691 2, 5392/689 2, 5388/685 2, 5437/668 2, 5427/658 2, 5419/650 2, 5414/647 2, 5589/628 2, 5572/613 4, 5610/587 2, 5609/584 2, 5603/578 2, 5505/544 2, 5562/539 4, 5563/538 4, 5550/527 2, 5549/524 2, 5546/523 4, 5538/515 2, 5536/513 2, 5724/509 2, 5706/491 2, 5755/474 6, 5736/457 2, 46216/9001 2, 33097/5864 2, 34076/4797 2, 5092/2117 2, 7208/1929 2, 7536/1745 2, 7481/1688 2, 7628/1645 2, 7696/1457 2, 7692/1453 2, 7689/1448 4, 7885/1388 2, 7909/1348 2, 6238/1023 2, 7843/1282 2, 6224/1009 2, 8024/1273 2, 6270/991 2, 8016/1265 2, 8008/1257 4, 6258/979 6, 8002/1251 2, 6246/967 2, 6244/965 2, 6240/961 4, 8048/1233 4, 6188/909 2, 6367/894 2, 6358/887 2, 8141/1132 2, 8180/1109 2, 8093/1084 2, 8164/1093 2, 6388/853 2, 8083/1074 2, 6382/847 2, 6282/811 2, 6280/809 2, 6281/808 2, 8111/1038 2, 6308/773 2, 6309/772 2, 6304/769 2, 6305/768 6, 6494/767 2, 6476/749 2, 6470/743 2, 6469/740 2, 6523/730 2, 6511/718 2, 6506/715 2, 6504/713 2, 6411/682 2, 6407/678 2, 6618/635 2, 6619/634 2, 6614/631 2, 6610/627 2, 6608/625 2, 6604/621 2, 6602/619 2, 6596/613 2, 6594/611 4, 6655/606 2, 6640/593 2, 6629/580 2, 6547/562 2, 6750/511 2, 6733/492 2, 6726/487 2, 4489/3624 2, 4988/3293 2, 5269/2868 2, 5619/2642 2, 5699/2530 2, 5914/2235 2, 5908/2229 2, 6089/2152 2, 6063/2062 2, 6358/1911 2, 6355/1906 2, 6470/1767 2, 6582/1559 2, 6717/1436 2, 6808/1337 2, 6794/1323 2, 6841/1304 2, 7000/1273 2, 6979/1250 4, 6943/1214 2, 7134/1151 2, 7129/1144 2, 7120/1137 2, 7116/1133 2, 7108/1125 2, 7106/1123 2, 7166/1119 4, 7164/1117 2, 7160/1113 2, 7064/1081 2, 7095/1046 2, 7239/998 2, 7289/984 2, 7281/976 2, 7274/971 4, 7197/956 2, 7170/931 2, 7366/871 2, 7412/853 2, 7356/797 2, 7349/788 2, 7343/782 2, 7544/729 2, 7543/726 2, 7536/721 2, 7526/711 2, 7523/706 8, 7440/689 4, 7439/686 2, 7428/677 2, 7484/669 2, 7485/668 2, 7462/647 2, 7642/635 2, 7620/613 6, 33713/7184 2, 12320/4993 2, 11583/3742 2, 10291/2962 2, 10376/2857 2, 10417/2832 2, 9224/1961 2, 11078/2279 2, 9352/1833 2, 9353/1832 2, 9349/1828 2, 11218/2163 2, 9378/1795 2, 9552/1777 2, 9593/1752 2, 9852/1501 4, 9783/1430 2, 9942/1399 2, 9983/1374 2, 9962/1355 2, 10104/1241 2, 10098/1235 2, 8273/1008 2, 10084/1221 2, 10000/1201 2, 8306/979 2, 10044/1181 2, 10036/1173 2, 8291/962 2, 8212/949 2, 10142/1087 2, 10134/1079 2, 8412/893 2, 10128/1073 2, 8396/877 4, 8447/862 2, 8436/853 2, 8429/844 2, 8417/832 2, 8382/799 2, 8376/793 2, 8358/775 6, 12413/6108 2, 12942/5423 2, 10264/4025 2, 10793/3464 2, 11038/3263 2, 11263/3166 2, 11433/2824 2, 8257/2016 2, 8247/1942 2, 8240/1937 2, 11772/2653 2, 8481/1664 2, 11942/2311 2, 8660/1653 2, 8598/1591 2, 8585/1576 2, 12076/2189 2, 8791/1526 2, 12167/2086 2, 8808/1481 2, 8742/1415 2, 8927/1406 2, 8959/1374 2, 8941/1356 2, 8856/1337 2, 8930/1347 2, 9052/1277 2, 8999/1158 2, 9165/1132 2, 9196/1101 2, 9193/1096 2, 9188/1093 2, 9092/1061 2, 9145/1048 2, 9286/999 2, 9221/932 2, 9279/926 2, 9261/908 2, 9426/883 2, 9420/877 2, 9416/873 4, 9410/867 2, 9459/850 2, 9447/838 2, 9394/787 2, 9508/645 2, 46353/4784 2, 9263/3982 2, 9588/3797 2, 9518/3727 2, 9602/3619 2, 9600/3617 2, 8399/2926 2, 8513/2784 2, 8463/2734 2, 8551/2758 2, 8453/2724 2, 10043/3226 2, 10026/3211 2, 10021/3204 2, 8503/2710 2, 10233/3160 2, 8923/2426 2, 9038/2287 2, 8971/2218 4, 9214/2143 2, 9147/2074 2, 11425/1792 2, 11530/1707 2, 11524/1701 2, 11735/1654 4, 11859/1522 2, 11824/1425 2, 11996/1405 2, 11977/1384 2, 11956/1301 2, 12097/1248 2, 10335/1022 6, 12034/1187 2, 10329/1016 4, 10317/1004 2, 10306/995 2, 10304/993 2, 10345/968 6, 12237/1132 2, 12224/1121 2, 12275/1106 2, 12268/1101 2, 12262/1095 2, 10295/918 4, 12259/1090 4, 10288/913 2, 12176/1073 2, 12215/1046 2, 12193/1024 2, 8317/4060 2, 14342/6055 2, 9311/3070 2, 15703/4854 2, 9684/2677 2, 9621/2612 2, 9608/2601 2, 9950/2431 4, 9884/2365 2, 10068/2293 2, 10367/2014 2, 10337/1984 4, 10255/1966 4, 10425/1816 2, 10507/1706 2, 10550/1687 2, 10708/1653 2, 10692/1637 2, 10809/1432 4, 10900/1333 4, 10880/1313 2, 10924/1293 2, 11101/1276 4, 11098/1275 4, 11116/1229 4, 11024/1201 6, 11068/1181 2, 11040/1153 4, 11167/1086 2, 11180/1037 2, 11176/1033 2, 11382/983 2, 47648/5505 2, 9027/4322 2, 9067/4298 2, 9172/4213 4, 9170/4211 2, 15582/3967 2, 14882/2435 2, 13404/2045 2, 13392/2033 2, 15213/2252 2, 13517/1900 4, 15303/2150 2, 15335/2118 2, 15258/2107 2, 13449/1832 2, 13679/1742 2, 13607/1670 2, 13777/1648 2, 13820/1629 6, 13821/1628 2, 13818/1627 2, 13724/1597 2, 13893/1508 2, 13929/1480 2, 9755/4538 2, 9843/4562 2, 14505/3848 2, 14709/3796 2, 15124/3253 2, 15116/3245 2, 15945/2536 2, 12320/1921 2, 12434/1843 2, 12476/1821 2, 16221/2300 2, 12636/1789 2, 16194/2275 2, 16195/2274 2, 12592/1681 2, 13013/1396 2, 13007/1390 2, 12967/1286 2, 13066/1195 4, 13094/1159 2, 13274/1147 2, 42959/4206 2, 42918/4103 2, 12248/5241 2, 10886/4391 2, 13899/3562 2, 12311/2998 2, 12293/2980 2, 14152/3305 2, 14115/3202 2, 12559/2734 2, 12794/2651 2, 13285/2116 2, 13283/2114 2, 15458/1987 2, 15576/1913 2, 15518/1855 2, 15504/1841 2, 15551/1822 2, 15687/1766 2, 15684/1765 4, 15643/1722 2, 15863/1622 2, 43217/4976 2, 43186/4883 2, 11491/4930 2, 11874/4547 2, 12230/4199 4, 12343/3990 2, 13119/3230 2, 13186/3107 2, 13239/3094 2, 13756/2589 2, 13878/2455 2, 14113/2176 2, 14222/2095 2, 14438/1991 2, 14349/1964 2, 14346/1963 2, 14652/1693 2, 14751/1598 2, 14930/1523 2, 15060/1397 2, 15103/1374 2, 15080/1353 2, 14998/1335 2, 15034/1307 2, 24135/7654 2, 20478/3167 2, 20448/3137 2, 18898/2675 2, 18884/2661 2, 19270/2279 2, 19335/2086 2, 17690/1723 2, 17761/1728 2, 17705/1672 2, 20631/5942 2, 21778/4787 2, 18900/3701 2, 18933/3668 2, 22312/4233 2, 18953/3496 2, 19357/3132 2, 19777/2784 2, 19961/2648 2, 19974/2471 2, 20210/2387 2, 20243/2226 2, 20386/2051 2, 16687/1678 2, 16858/1659 4, 16894/1631 2, 17102/1391 2, 57129/6280 2, 24176/5585 2, 24090/5563 2, 23247/4462 2, 18098/3347 

twitter_continued_fraction_spike.clj

Finally learned how to launch a clj session with an external library; forgive me, reader, I am old and from the lein era.

clj -Sdeps "{:deps {org.clojure/math.combinatorics {:mvn/version \"0.1.6\"}}}"

user=> (require '[clojure.math.combinatorics :as combo])
;; nil
user=> (combo/permutations [1 2 3])
;; ([1 2 3] [1 3 2] [2 1 3] [2 3 1] [3 1 2] [3 2 1])
user=> (def all-tens (combo/permutations x10))
;; #'user/all-tens
user=> (take 1000 (sort-by val > (frequencies (sort (map (fn [v] (apply ten-frac v)) all-tens)))))
;; ([9N 430] [11N 380] [7N 322] [21/2 306] [31/3 262] [17/2 258] [15/2 254] [5N 252] [25/3 246] [8N 238] [22/3 218] [51/5 208] [28/3 208] [32/3 206] [17/3 206] [23/3 206] [29/3 206] [13/2 202] [6N 202] [71/7 196] [10N 192] [41/5 182] [59/7 182] [35/3 180] [43/4 180] [19/3 180] [19/2 180] [3N 180] [47/5 178] [57/7 178] [37/4 176] [39/4 176] [53/5 176] [54/5 176] [66/7 174] [48/5 174] [65/7 172] [41/4 172] [20/3 170] [33/4 166] [45/4 164] [43/5 164] [95/9 164] [33/5 162] [23/2 162] [42/5 160] [34/3 158] [74/7 158] [12N 158] [29/4 158] [26/3 158] [103/11 156] [67/7 154] [73/7 154] [53/7 152] [49/5 152] [56/5 152] [75/7 150] [62/7 150] [69/7 148] [44/5 148] [54/7 148] [87/8 148] [52/5 146] [58/7 146] [37/5 144] [61/7 144] [75/8 142] [21/4 142] [31/5 142] [25/4 142] [57/5 140] [36/5 138] [76/7 138] [101/11 138] [51/7 138] [16/3 136] [95/11 136] [4 134] [64/7 134] [91/9 134] [38/7 132] [13/3 132] [94/11 132] [83/9 132] [61/6 132] [33/7 130] [35/4 130] [11/3 130] [67/9 130] [19/4 130] [111/13 128] [38/5 128] [43/7 128] [55/6 128] [92/9 128] [83/11 128] [25/2 128] [69/8 126] [23/4 126] [60/7 126] [46/5 124] [27/4 124] [177/17 122] [32/5 122] [37/3 122] [97/11 122] [93/11 122] [80/7 122] [171/17 122] [117/11 122] [45/7 120] [159/17 120] [85/11 120] [73/8 118] [177/19 118] [72/7 118] [21/5 118] [115/11 118] [114/11 118] [81/11 118] [113/11 118] [135/13 116] [141/17 116] [145/13 116] [173/17 116] [27/5 116] [7/3 114] [77/9 114] [79/7 114] [100/9 114] [17/5 114] [109/13 112] [7/2 112] [65/6 112] [240/23 112] [132/13 112] [134/13 112] [24/5 112] [59/5 112] [86/9 112] [141/13 110] [41/6 110] [91/11 110] [95/13 110] [85/9 110] [73/11 108] [79/11 108] [77/8 108] [47/9 108] [97/9 108] [9/2 108] [157/19 108] [129/17 108] [122/11 108] [123/13 108] [122/13 108] [173/21 108] [30/7 108] [87/11 108] [37/7 106] [39/5 106] [105/11 106] [104/11 106] [107/13 106] [47/6 106] [78/7 106] [43/6 106] [13N 106] [63/11 106] [124/11 106] [31/4 106] [233/23 106] [105/13 104] [137/13 104] [76/9 104] [131/13 104] [123/11 104] [59/8 104] [52/7 104] [120/13 104] [165/16 104] [29/5 104] [51/8 104] [144/13 104] [39/7 102] [107/11 102] [140/13 102] [37/6 102] [13/4 102] [46/7 102] [71/11 102] [14/3 102] [81/13 102] [55/9 102] [146/17 100] [47/11 100] [79/9 100] [11/2 100] [188/17 100] [69/11 100] [11/4 100] [59/9 100] [169/17 100] [68/7 98] [65/9 98] [59/11 98] [55/7 98] [89/9 98] [89/8 98] [124/13 98] [119/11 98] [85/8 98] [58/5 98] [211/19 96] [108/13 96] [106/13 96] [138/13 96] [8/3 96] [102/11 96] [121/13 96] [61/5 96] [49/8 96] [83/8 96] [113/13 96] [147/13 96] [41/9 94] [143/15 94] [110/13 94] [67/6 94] [139/13 94] [64/9 94] [15/4 94] [159/19 94] [157/17 94] [129/13 94] [163/17 94] [16/5 94] [81/7 94] [125/11 94] [48/7 94] [94/9 94] [201/19 94] [173/19 94] [179/17 92] [109/11 92] [183/17 92] [47/4 92] [192/19 92] [29/9 92] [17/4 92] [50/7 92] [49/9 92] [81/8 92] [148/13 92] [119/13 92] [237/23 92] [53/8 92] [118/11 92] [73/9 90] [210/19 90] [79/8 90] [182/17 90] [122/17 90] [97/19 90] [56/11 90] [120/11 90] [93/10 90] [112/13 90] [25/7 90] [25/6 90] [26/5 90] [116/11 90] [74/9 88] [176/21 88] [180/17 88] [108/11 88] [13/5 88] [93/13 88] [125/13 88] [195/19 88] [167/19 88] [165/17 88] [82/7 88] [198/19 88] [267/29 88] [153/14 88] [174/19 88] [247/23 86] [319/31 86] [106/11 86] [34/7 86] [78/11 86] [111/10 86] [185/17 86] [187/18 86] [67/8 86] [101/9 86] [99/13 86] [101/10 86] [57/11 86] [89/11 86] [53/6 86] [94/13 86] [61/9 86] [123/14 86] [126/11 86] [105/17 86] [82/11 86] [86/11 86] [174/17 86] [251/24 84] [111/11 84] [5/2 84] [97/10 84] [125/17 84] [158/19 84] [41/7 84] [29/8 84] [89/12 84] [63/8 84] [51/10 84] [106/17 84] [175/17 84] [145/17 82] [79/13 82] [183/19 82] [133/13 82] [131/11 82] [10/3 82] [65/8 82] [123/17 82] [64/11 82] [273/29 82] [68/9 82] [278/27 82] [100/11 82] [126/13 82] [193/21 82] [61/8 82] [192/23 82] [137/17 82] [87/13 82] [118/13 82] [112/11 82] [150/13 82] [113/12 82] [115/13 82] [246/23 80] [36/7 80] [242/23 80] [32/7 80] [47/7 80] [102/13 80] [163/15 80] [96/13 80] [71/8 80] [23/7 80] [23/5 80] [58/9 80] [135/19 80] [31/10 80] [17/7 80] [51/11 80] [151/15 80] [29/7 80] [139/17 80] [80/11 80] [291/29 80] [114/13 80] [144/17 78] [178/19 78] [38/3 78] [181/19 78] [146/21 78] [67/11 78] [275/27 78] [37/9 78] [219/23 78] [103/10 78] [127/17 78] [39/8 78] [40/7 78] [128/15 78] [163/19 78] [58/11 78] [90/11 78] [31/11 78] [18/7 78] [92/11 78] [49/11 78] [171/23 78] [84/11 78] [146/13 78] [168/23 78] [109/15 76] [45/8 76] [45/11 76] [34/5 76] [98/11 76] [44/7 76] [67/13 76] [71/9 76] [189/19 76] [68/11 76] [61/13 76] [57/8 76] [195/17 76] [155/14 76] [18/5 76] [295/29 76] [258/25 76] [234/23 76] [78/17 76] [110/17 76] [179/19 74] [74/11 74] [107/10 74] [247/22 74] [41/11 74] [79/12 74] [87/19 74] [211/23 74] [249/29 74] [281/29 74] [72/13 74] [182/19 74] [241/23 74] [342/31 74] [101/14 74] [70/11 74] [69/10 74] [70/9 74] [97/17 74] [199/23 74] [303/31 74] [337/33 74] [165/23 74] [163/16 74] [49/4 74] [194/23 74] [19/5 74] [197/19 74] [257/23 74] [49/6 74] [107/17 74] [259/25 74] [62/5 74] [81/10 74] [82/9 74] [169/18 74] [200/19 74] [235/23 74] [142/17 74] [113/17 72] [181/21 72] [425/41 72] [43/9 72] [147/17 72] [181/17 72] [151/17 72] [46/9 72] [76/11 72] [98/9 72] [186/17 72] [186/23 72] [243/29 72] [263/23 72] [373/37 72] [341/37 72] [96/19 72] [63/10 72] [61/11 72] [101/19 72] [193/23 72] [62/9 72] [327/31 72] [31/6 72] [28/5 72] [351/37 72] [142/19 72] [205/19 72] [232/23 72] [177/16 70] [145/19 70] [40/11 70] [73/10 70] [115/16 70] [73/13 70] [139/15 70] [399/41 70] [136/15 70] [123/19 70] [12/5 70] [103/14 70] [153/16 70] [61/17 70] [97/13 70] [71/10 70] [97/12 70] [215/26 70] [127/15 70] [125/12 70] [131/17 70] [229/23 70] [89/13 70] [199/19 70] [29/11 70] [196/19 70] [31/7 70] [203/19 70] [84/13 70] [80/9 70] [116/13 70] [195/31 70] [53/11 70] [141/19 70] [113/14 70] [77/12 68] [283/26 68] [215/21 68] [253/31 68] [147/16 68] [15/7 68] [35/11 68] [120/17 68] [222/23 68] [120/19 68] [131/15 68] [189/17 68] [191/17 68] [391/41 68] [98/13 68] [131/19 68] [161/17 68] [160/17 68] [85/7 68] [197/23 68] [59/13 68] [207/25 68] [28/11 68] [169/16 68] [202/19 68] [137/19 68] [140/17 68] [53/10 68] [115/12 68] [176/17 66] [115/17 66] [141/14 66] [73/12 66] [79/10 66] [118/19 66] [211/22 66] [47/8 66] [77/10 66] [137/14 66] [121/17 66] [187/19 66] [33/8 66] [101/12 66] [133/12 66] [91/17 66] [103/13 66] [179/25 66] [90/17 66] [189/22 66] [39/11 66] [9/4 66] [128/13 66] [272/29 66] [66/13 66] [92/13 66] [198/23 66] [192/17 66] [63/13 66] [127/13 66] [239/29 66] [57/10 66] [19/7 66] [83/7 66] [133/17 66] [93/8 66] [166/19 66] [165/19 66] [167/17 66] [331/29 66] [89/14 66] [134/17 66] [85/13 66] [50/11 66] [106/19 66] [137/16 66] [29/6 66] [48/11 66] [53/9 66] [21/8 66] [59/6 66] [170/23 66] [172/17 66] [232/21 66] [24/7 66] [55/8 66] [204/19 66] [249/25 64] [109/12 64] [213/23 64] [601/59 64] [72/11 64] [41/13 64] [107/15 64] [106/15 64] [248/29 64] [117/19 64] [283/29 64] [331/35 64] [121/16 64] [135/14 64] [130/11 64] [254/23 64] [309/31 64] [311/29 64] [154/17 64] [310/29 64] [191/19 64] [156/17 64] [95/17 64] [97/15 64] [327/41 64] [156/19 64] [339/35 64] [162/19 64] [19/6 64] [134/19 64] [196/17 64] [330/31 64] [413/43 64] [17/6 64] [267/28 64] [239/23 64] [85/12 64] [19/8 64] [224/27 64] [83/13 64] [143/17 64] [111/16 64] [165/26 64] [79/15 62] [121/25 62] [357/37 62] [3/2 62] [150/23 62] [214/23 62] [359/37 62] [43/8 62] [148/23 62] [35/6 62] [101/13 62] [153/19 62] [70/13 62] [11/5 62] [217/23 62] [67/12 62] [278/25 62] [226/19 62] [269/31 62] [127/12 62] [235/31 62] [265/29 62] [297/29 62] [135/17 62] [83/10 62] [202/17 62] [175/19 62] [80/13 62] [87/10 62] [141/16 62] [111/17 62] [113/15 62] [169/23 62] [170/21 62] [172/19 62] [256/31 62] [81/17 60] [75/11 60] [253/29 60] [251/27 60] [145/16 60] [147/23 60] [399/43 60] [385/37 60] [40/13 60] [137/15 60] [54/17 60] [151/16 60] [89/17 60] [67/10 60] [166/15 60] [35/9 60] [155/17 60] [99/14 60] [37/11 60] [133/11 60] [34/13 60] [36/11 60] [126/17 60] [158/17 60] [27/11 60] [197/21 60] [345/41 60] [23/6 60] [91/10 60] [232/25 60] [161/19 60] [89/10 60] [160/19 60] [229/22 60] [230/21 60] [69/17 60] [195/23 60] [197/17 60] [103/17 60] [90/13 60] [135/16 60] [269/26 60] [139/19 60] [55/13 60] [116/15 60] [117/14 60] [260/31 60] [115/14 60] [201/20 60] [231/25 60] [257/31 60] [175/16 60] [153/25 58] [393/41 58] [42/11 58] [41/8 58] [115/18 58] [251/26 58] [47/13 58] [83/17 58] [117/23 58] [142/13 58] [176/19 58] [315/31 58] [46/11 58] [117/16 58] [107/14 58] [136/13 58] [181/16 58] [346/31 58] [178/21 58] [180/19 58] [57/17 58] [90/19 58] [122/19 58] [158/23 58] [159/22 58] [189/20 58] [208/25 58] [65/11 58] [125/23 58] [121/19 58] [183/29 58] [277/25 58] [98/15 58] [306/29 58] [25/8 58] [86/7 58] [96/17 58] [129/16 58] [27/8 58] [162/17 58] [267/31 58] [88/13 58] [121/12 58] [161/20 58] [298/31 58] [297/28 58] [121/15 58] [51/4 58] [143/23 58] [381/37 58] [170/19 58] [108/23 58] [113/10 58] [149/14 58] [162/25 58] [171/16 58] [111/19 58] [109/17 58] [143/19 58] [161/29 58] [309/41 58] [345/37 58] [321/31 58] [145/14 58] [171/20 58] [197/26 58] [378/37 58] [283/27 56] [317/29 56] [183/22 56] [181/22 56] [149/17 56] [189/25 56] [44/9 56] [148/17 56] [179/22 56] [177/23 56] [179/21 56] [219/29 56] [253/27 56] [148/19 56] [218/29 56] [212/19 56] [167/15 56] [277/29 56] [343/31 56] [99/10 56] [13/6 56] [103/12 56] [96/11 56] [93/17 56] [183/25 56] [357/43 56] [367/33 56] [329/39 56] [218/21 56] [201/25 56] [231/23 56] [229/21 56] [56/9 56] [88/9 56] [268/29 56] [477/47 56] [553/59 56] [124/15 56] [234/25 56] [28/9 56] [67/21 56] [329/31 56] [194/21 56] [348/43 56] [53/13 56] [73/17 56] [149/13 56] [27/2 56] [87/14 56] [172/21 56] [198/31 56] [238/23 56] [169/19 56] [197/31 56] [107/16 56] [138/17 56] [168/19 56] [45/17 56] [207/19 56] [54/11 56] [206/19 56] [23/9 56] [79/17 56] [229/27 56] [143/16 56] [149/21 54] [183/23 54] [215/23 54] [291/35 54] [399/47 54] [281/27 54] [179/16 54] [230/37 54] [390/37 54] [117/17 54] [151/19 54] [323/39 54] [47/10 54] [154/31 54] [157/24 54] [5/3 54] [75/13 54] [149/19 54] [169/15 54] [315/29 54] [86/17 54] [127/23 54] [155/19 54] [181/29 54] [88/17 54] [100/13 54] [184/17 54] [211/25 54] [83/24 54] [448/43 54] [149/25 54] [213/25 54] [483/47 54] [38/11 54] [37/8 54] [123/22 54] [217/20 54] [103/9 54] [185/23 54] [277/27 54] [131/12 54] [247/24 54] [480/47 54] [25/9 54] [169/24 54] [167/22 54] [193/19 54] [261/23 54] [95/12 54] [99/16 54] [196/23 54] [194/17 54] [37/17 54] [57/13 54] [91/15 54] [163/23 54] [237/25 54] [447/43 54] [69/19 54] [299/29 54] [91/12 54] [103/16 54] [237/26 54] [113/9 54] [231/31 54] [313/33 54] [337/41 54] [429/53 54] [168/17 54] [251/34 54] [294/31 54] [149/15 54] [205/23 54] [339/41 54] [407/43 54] [224/29 54] [228/25 54] [283/37 54] [411/37 54] [485/59 54] [23/8 54] [82/13 54] [140/19 54] [119/23 52] [159/31 52] [79/14 52] [262/39 52] [81/19 52] [245/23 52] [82/17 52] [52/17 52] [149/16 52] [223/26 52] [314/31 52] [123/29 52] [293/35 52] [241/22 52] [63/23 52] [209/25 52] [223/23 52] [68/13 52] [190/23 52] [93/23 52] [189/23 52] [221/23 52] [40/3 52] [148/31 52] [176/27 52] [188/23 52] [187/16 52] [216/19 52] [270/37 52] [187/23 52] [251/23 52] [64/13 52] [212/25 52] [333/32 52] [333/35 52] [65/14 52] [187/20 52] [99/19 52] [157/13 52] [447/47 52] [61/12 52] [61/15 52] [173/31 52] [207/29 52] [158/13 52] [236/31 52] [103/19 52] [231/19 52] [2N 52] [122/15 52])

Also interesting:

There are 10! different assignments possible (in all-tens, above) but

user=> (count (frequencies (sort (map (fn [v] (apply ten-frac v)) all-tens))))
;; 1198543