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nonagonal numbers
A figurate number of form n(7n-5)/2. more

The first 600 nonagonal numbers :
1, 9, 24, 46, 75, 111, 154, 204, 261, 325, 396, 474, 559, 651, 750, 856, 969, 1089, 1216, 1350, 1491, 1639, 1794, 1956, 2125, 2301, 2484, 2674, 2871, 3075, 3286, 3504, 3729, 3961, 4200, 4446, 4699, 4959, 5226, 5500, 5781, 6069, 6364, 6666, 6975, 7291, 7614, 7944, 8281, 8625, 8976, 9334, 9699, 10071, 10450, 10836, 11229, 11629, 12036, 12450, 12871, 13299, 13734, 14176, 14625, 15081, 15544, 16014, 16491, 16975, 17466, 17964, 18469, 18981, 19500, 20026, 20559, 21099, 21646, 22200, 22761, 23329, 23904, 24486, 25075, 25671, 26274, 26884, 27501, 28125, 28756, 29394, 30039, 30691, 31350, 32016, 32689, 33369, 34056, 34750, 35451, 36159, 36874, 37596, 38325, 39061, 39804, 40554, 41311, 42075, 42846, 43624, 44409, 45201, 46000, 46806, 47619, 48439, 49266, 50100, 50941, 51789, 52644, 53506, 54375, 55251, 56134, 57024, 57921, 58825, 59736, 60654, 61579, 62511, 63450, 64396, 65349, 66309, 67276, 68250, 69231, 70219, 71214, 72216, 73225, 74241, 75264, 76294, 77331, 78375, 79426, 80484, 81549, 82621, 83700, 84786, 85879, 86979, 88086, 89200, 90321, 91449, 92584, 93726, 94875, 96031, 97194, 98364, 99541, 100725, 101916, 103114, 104319, 105531, 106750, 107976, 109209, 110449, 111696, 112950, 114211, 115479, 116754, 118036, 119325, 120621, 121924, 123234, 124551, 125875, 127206, 128544, 129889, 131241, 132600, 133966, 135339, 136719, 138106, 139500, 140901, 142309, 143724, 145146, 146575, 148011, 149454, 150904, 152361, 153825, 155296, 156774, 158259, 159751, 161250, 162756, 164269, 165789, 167316, 168850, 170391, 171939, 173494, 175056, 176625, 178201, 179784, 181374, 182971, 184575, 186186, 187804, 189429, 191061, 192700, 194346, 195999, 197659, 199326, 201000, 202681, 204369, 206064, 207766, 209475, 211191, 212914, 214644, 216381, 218125, 219876, 221634, 223399, 225171, 226950, 228736, 230529, 232329, 234136, 235950, 237771, 239599, 241434, 243276, 245125, 246981, 248844, 250714, 252591, 254475, 256366, 258264, 260169, 262081, 264000, 265926, 267859, 269799, 271746, 273700, 275661, 277629, 279604, 281586, 283575, 285571, 287574, 289584, 291601, 293625, 295656, 297694, 299739, 301791, 303850, 305916, 307989, 310069, 312156, 314250, 316351, 318459, 320574, 322696, 324825, 326961, 329104, 331254, 333411, 335575, 337746, 339924, 342109, 344301, 346500, 348706, 350919, 353139, 355366, 357600, 359841, 362089, 364344, 366606, 368875, 371151, 373434, 375724, 378021, 380325, 382636, 384954, 387279, 389611, 391950, 394296, 396649, 399009, 401376, 403750, 406131, 408519, 410914, 413316, 415725, 418141, 420564, 422994, 425431, 427875, 430326, 432784, 435249, 437721, 440200, 442686, 445179, 447679, 450186, 452700, 455221, 457749, 460284, 462826, 465375, 467931, 470494, 473064, 475641, 478225, 480816, 483414, 486019, 488631, 491250, 493876, 496509, 499149, 501796, 504450, 507111, 509779, 512454, 515136, 517825, 520521, 523224, 525934, 528651, 531375, 534106, 536844, 539589, 542341, 545100, 547866, 550639, 553419, 556206, 559000, 561801, 564609, 567424, 570246, 573075, 575911, 578754, 581604, 584461, 587325, 590196, 593074, 595959, 598851, 601750, 604656, 607569, 610489, 613416, 616350, 619291, 622239, 625194, 628156, 631125, 634101, 637084, 640074, 643071, 646075, 649086, 652104, 655129, 658161, 661200, 664246, 667299, 670359, 673426, 676500, 679581, 682669, 685764, 688866, 691975, 695091, 698214, 701344, 704481, 707625, 710776, 713934, 717099, 720271, 723450, 726636, 729829, 733029, 736236, 739450, 742671, 745899, 749134, 752376, 755625, 758881, 762144, 765414, 768691, 771975, 775266, 778564, 781869, 785181, 788500, 791826, 795159, 798499, 801846, 805200, 808561, 811929, 815304, 818686, 822075, 825471, 828874, 832284, 835701, 839125, 842556, 845994, 849439, 852891, 856350, 859816, 863289, 866769, 870256, 873750, 877251, 880759, 884274, 887796, 891325, 894861, 898404, 901954, 905511, 909075, 912646, 916224, 919809, 923401, 927000, 930606, 934219, 937839, 941466, 945100, 948741, 952389, 956044, 959706, 963375, 967051, 970734, 974424, 978121, 981825, 985536, 989254, 992979, 996711, 1000450, 1004196, 1007949, 1011709, 1015476, 1019250, 1023031, 1026819, 1030614, 1034416, 1038225, 1042041, 1045864, 1049694, 1053531, 1057375, 1061226, 1065084, 1068949, 1072821, 1076700, 1080586, 1084479, 1088379, 1092286, 1096200, 1100121, 1104049, 1107984, 1111926, 1115875, 1119831, 1123794, 1127764, 1131741, 1135725, 1139716, 1143714, 1147719, 1151731, 1155750, 1159776, 1163809, 1167849, 1171896, 1175950, 1180011, 1184079, 1188154, 1192236, 1196325, 1200421, 1204524, 1208634, 1212751, 1216875, 1221006, 1225144, 1229289, 1233441, 1237600, 1241766, 1245939, 1250119, 1254306, 1258500.

Distribution of the remainders when the numbers in this family are divided by n=2, 3,..., 11. (I took into account 16903085 values, from 1 to 999999946552575).

n\r 0  1 
284515428451543 2 
31126872356343620 3 
44225771422577242257714225771 4 
533806176761234006761234 5 
6563436128171810563436228171810 6 
72414726241472724147272414727241472624147262414726 7 
821128852112886211288621128852112886211288621128852112886 8 
9375624156343620375624100375624100 9 
101690308338061700338061716903093380617003380617 10 
1130732883073289307328800030732880153664430732880

A pictorial representation of the table above
motab
Imagine to divide the members of this family by a number n and compute the remainders. Should they be uniformly distributed, each remainder from 0 to n-1 would be obtained in about (1/n)-th of the cases. This outcome is represented by a white square. Reddish (resp. bluish) squares represent remainders which appear more (resp. less) frequently than 1/n.