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Matlab
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| % Data from @chux answer: http://stackoverflow.com/a/35326915/4573247 | |
| data = [ | |
| 1073741824 23567395117; | |
| 536870912 11411566988; | |
| 268435456 5519718329; | |
| 134217728 2666826555; | |
| 67108864 1286897093; | |
| 33554432 620190504; | |
| 16777216 298466265; | |
| 8388608 143418602; | |
| 4194304 68802063; | |
| 2097152 32947406; | |
| 1048576 15746897; | |
| 524288 7510048; | |
| 262144 3573331; | |
| 131072 1695816; | |
| 65536 802493; | |
| 32768 378537; | |
| 16384 177921; | |
| 8192 83286; | |
| 4096 38803; | |
| 2048 17973; | |
| 1024 8275; | |
| 512 3782; | |
| 256 1713; | |
| 128 765; | |
| 64 337; | |
| 32 145; | |
| 16 61; | |
| 8 24; | |
| 4 9; | |
| 2 3; | |
| 1 1]; | |
| n=flipud(data(:,1)); | |
| exact = flipud(data(:,2)); | |
| calculated = n.*log(n) + n - log(n); | |
| [exact round(calculated) abs(exact-calculated)./exact] | |
| % exact calculated relative difference | |
| % (rounded to integer) | |
| ans = | |
| 1 1 0 | |
| 3 3 0.102284273146685 | |
| 9 8 0.0934574351822586 | |
| 24 23 0.0601628836767145 | |
| 61 58 0.0559208060066112 | |
| 145 139 0.0383599104359205 | |
| 337 326 0.0326123612710407 | |
| 765 744 0.0271792895192269 | |
| 1713 1670 0.025090339554998 | |
| 3782 3700 0.0217387933910132 | |
| 8275 8115 0.0193479568425087 | |
| 17973 17656 0.0176600976649259 | |
| 38803 38157 0.0166416912940827 | |
| 83286 82000 0.0154360729586646 | |
| 177921 175366 0.0143624213690899 | |
| 378537 373453 0.0134298497079125 | |
| 802493 792342 0.0126488235437116 | |
| 1695816 1675547 0.0119521223092989 | |
| 3573331 3532810 0.0113397655119373 | |
| 7510048 7429041 0.0107864741702837 | |
| 15746897 15584912 0.0102867823982787 | |
| 32947406 32623472 0.00983184047849265 | |
| 68802063 68154229 0.00941591569702434 | |
| 143418602 142123012 0.00903362807751623 | |
| 298466265 295875119 0.00868153860687559 | |
| 620190504 615008413 0.00835564377880152 | |
| 1286897093 1276533163 0.00805342587336599 | |
| 2666826555 2646098982 0.007772373714499 | |
| 5519718329 5478263262 0.00751035908953358 | |
| 11411566988 11328657102 0.00726542514647679 | |
| 23567395117 23401575342 0.00703598231049359 |
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