Coefficients of the polynomial h_n(x) from "Random numerical semigroups and a simplicial complex of irreducible semigroups"

hn-coefficients.txt

1 [ 1 ]
2 [ 1 ]
3 [ 1 ]
4 [ 1 ]
5 [ 1, 1 ]
6 [ 1 ]
7 [ 1, 2 ]
8 [ 1, 1 ]
9 [ 1, 2 ]
10 [ 1, 2 ]
11 [ 1, 4, 1 ]
12 [ 1, 1 ]
13 [ 1, 5, 2 ]
14 [ 1, 4, 1 ]
15 [ 1, 4, 2 ]
16 [ 1, 4, 2 ]
17 [ 1, 7, 6, 1 ]
18 [ 1, 4, 2 ]
19 [ 1, 8, 9, 2 ]
20 [ 1, 5, 4, 1 ]
21 [ 1, 7, 8, 2 ]
22 [ 1, 8, 9, 2 ]
23 [ 1, 10, 17, 7, 1 ]
24 [ 1, 5, 6, 2 ]
25 [ 1, 10, 19, 12, 2 ]
26 [ 1, 10, 16, 7, 1 ]
27 [ 1, 10, 21, 11, 2 ]
28 [ 1, 9, 16, 9, 2 ]
29 [ 1, 13, 34, 26, 8, 1 ]
30 [ 1, 8, 15, 10, 2 ]
31 [ 1, 14, 41, 37, 14, 2 ]
32 [ 1, 11, 27, 22, 8, 1 ]
33 [ 1, 13, 39, 33, 13, 2 ]
34 [ 1, 14, 39, 36, 14, 2 ]
35 [ 1, 14, 49, 65, 35, 9, 1 ]
36 [ 1, 10, 28, 26, 10, 2 ]
37 [ 1, 17, 67, 90, 53, 16, 2 ]
38 [ 1, 16, 55, 65, 35, 9, 1 ]
39 [ 1, 16, 64, 81, 48, 15, 2 ]
40 [ 1, 13, 47, 68, 49, 16, 2 ]
41 [ 1, 19, 89, 146, 109, 45, 10, 1 ]
42 [ 1, 14, 51, 72, 48, 15, 2 ]
43 [ 1, 20, 101, 182, 152, 70, 18, 2 ]
44 [ 1, 17, 72, 114, 88, 39, 10, 1 ]
45 [ 1, 17, 87, 165, 142, 67, 17, 2 ]
46 [ 1, 20, 96, 171, 149, 70, 18, 2 ]
47 [ 1, 22, 128, 272, 279, 157, 55, 11, 1 ]
48 [ 1, 15, 71, 128, 117, 60, 17, 2 ]
49 [ 1, 22, 134, 322, 363, 229, 89, 20, 2 ]
50 [ 1, 20, 106, 235, 259, 156, 55, 11, 1 ]
51 [ 1, 22, 136, 305, 339, 213, 84, 19, 2 ]
52 [ 1, 21, 118, 256, 290, 192, 81, 20, 2 ]
53 [ 1, 25, 174, 463, 604, 453, 216, 66, 12, 1 ]
54 [ 1, 20, 115, 273, 318, 208, 83, 19, 2 ]
55 [ 1, 24, 172, 504, 728, 609, 325, 109, 22, 2 ]
56 [ 1, 21, 132, 358, 507, 409, 208, 66, 12, 1 ]
57 [ 1, 25, 183, 510, 712, 577, 302, 103, 21, 2 ]
58 [ 1, 26, 180, 504, 728, 605, 322, 109, 22, 2 ]
59 [ 1, 28, 228, 733, 1186, 1115, 684, 283, 78, 13, 1 ]
60 [ 1, 19, 126, 356, 516, 460, 260, 96, 21, 2 ]
61 [ 1, 29, 247, 842, 1455, 1466, 969, 436, 131, 24, 2 ]
62 [ 1, 28, 214, 679, 1119, 1080, 677, 283, 78, 13, 1 ]
63 [ 1, 26, 219, 779, 1388, 1414, 928, 413, 124, 23, 2 ]
64 [ 1, 26, 205, 681, 1208, 1271, 892, 425, 131, 24, 2 ]
65 [ 1, 29, 265, 1015, 1994, 2354, 1826, 973, 362, 91, 14, 1 ]
66 [ 1, 26, 203, 680, 1207, 1282, 884, 407, 124, 23, 2 ]
67 [ 1, 32, 311, 1246, 2562, 3131, 2517, 1419, 569, 155, 26, 2 ]
68 [ 1, 29, 249, 888, 1705, 2014, 1599, 888, 347, 91, 14, 1 ]
69 [ 1, 31, 301, 1181, 2414, 2939, 2365, 1335, 535, 147, 25, 2 ]
70 [ 1, 28, 248, 1012, 2218, 2873, 2431, 1414, 569, 155, 26, 2 ]
71 [ 1, 34, 359, 1577, 3615, 4945, 4481, 2878, 1348, 453, 105, 15, 1 ]
72 [ 1, 25, 222, 893, 1923, 2498, 2138, 1267, 526, 147, 25, 2 ]
73 [ 1, 35, 383, 1764, 4252, 6139, 5883, 4008, 2004, 725, 181, 28, 2 ]
74 [ 1, 34, 337, 1456, 3361, 4694, 4365, 2853, 1345, 453, 105, 15, 1 ]
75 [ 1, 32, 346, 1582, 3810, 5567, 5428, 3758, 1888, 684, 172, 27, 2 ]
76 [ 1, 33, 334, 1448, 3413, 5005, 4992, 3559, 1863, 705, 181, 28, 2 ]
77 [ 1, 35, 406, 2098, 5706, 9239, 9871, 7520, 4266, 1805, 558, 120, 16, 1 ]
78 [ 1, 32, 322, 1435, 3488, 5221, 5232, 3690, 1873, 683, 172, 27, 2 ]
79 [ 1, 38, 464, 2422, 6719, 11272, 12627, 10126, 6076, 2737, 906, 209, 30, 2 ]
80 [ 1, 31, 334, 1647, 4462, 7458, 8472, 6896, 4105, 1785, 558, 120, 16, 1 ]
81 [ 1, 36, 436, 2292, 6447, 10852, 12125, 9709, 5791, 2592, 856, 199, 29, 2 ]
82 [ 1, 38, 438, 2231, 6208, 10604, 12172, 9960, 6040, 2733, 906, 209, 30, 2 ]
83 [ 1, 40, 522, 2947, 8900, 16382, 20183, 17878, 11943, 6100, 2365, 678, 136, 17, 1 ]
84 [ 1, 31, 342, 1723, 4788, 8317, 9776, 8224, 5157, 2431, 838, 199, 29, 2 ]
85 [ 1, 39, 517, 3024, 9510, 18581, 24486, 23178, 16439, 8880, 3650, 1115, 239, 32, 2 ]
86 [ 1, 40, 493, 2713, 8210, 15330, 19347, 17499, 11848, 6092, 2365, 678, 136, 17, 1 ]
87 [ 1, 40, 535, 3090, 9681, 18515, 23829, 22146, 15547, 8379, 3447, 1055, 228, 31, 2 ]
88 [ 1, 37, 457, 2605, 8300, 16376, 22024, 21374, 15593, 8659, 3625, 1115, 239, 32, 2 ]
89 [ 1, 43, 616, 3873, 13177, 27570, 38775, 39358, 30349, 18186, 8488, 3044, 814, 153, 18, 1 ]
90 [ 1, 34, 416, 2442, 7950, 16065, 21795, 21213, 15315, 8343, 3442, 1055, 228, 31, 2 ]