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heptagonal numbers
A figurate number of form n(5n-3)/2. more

The first 600 heptagonal numbers :
1, 7, 18, 34, 55, 81, 112, 148, 189, 235, 286, 342, 403, 469, 540, 616, 697, 783, 874, 970, 1071, 1177, 1288, 1404, 1525, 1651, 1782, 1918, 2059, 2205, 2356, 2512, 2673, 2839, 3010, 3186, 3367, 3553, 3744, 3940, 4141, 4347, 4558, 4774, 4995, 5221, 5452, 5688, 5929, 6175, 6426, 6682, 6943, 7209, 7480, 7756, 8037, 8323, 8614, 8910, 9211, 9517, 9828, 10144, 10465, 10791, 11122, 11458, 11799, 12145, 12496, 12852, 13213, 13579, 13950, 14326, 14707, 15093, 15484, 15880, 16281, 16687, 17098, 17514, 17935, 18361, 18792, 19228, 19669, 20115, 20566, 21022, 21483, 21949, 22420, 22896, 23377, 23863, 24354, 24850, 25351, 25857, 26368, 26884, 27405, 27931, 28462, 28998, 29539, 30085, 30636, 31192, 31753, 32319, 32890, 33466, 34047, 34633, 35224, 35820, 36421, 37027, 37638, 38254, 38875, 39501, 40132, 40768, 41409, 42055, 42706, 43362, 44023, 44689, 45360, 46036, 46717, 47403, 48094, 48790, 49491, 50197, 50908, 51624, 52345, 53071, 53802, 54538, 55279, 56025, 56776, 57532, 58293, 59059, 59830, 60606, 61387, 62173, 62964, 63760, 64561, 65367, 66178, 66994, 67815, 68641, 69472, 70308, 71149, 71995, 72846, 73702, 74563, 75429, 76300, 77176, 78057, 78943, 79834, 80730, 81631, 82537, 83448, 84364, 85285, 86211, 87142, 88078, 89019, 89965, 90916, 91872, 92833, 93799, 94770, 95746, 96727, 97713, 98704, 99700, 100701, 101707, 102718, 103734, 104755, 105781, 106812, 107848, 108889, 109935, 110986, 112042, 113103, 114169, 115240, 116316, 117397, 118483, 119574, 120670, 121771, 122877, 123988, 125104, 126225, 127351, 128482, 129618, 130759, 131905, 133056, 134212, 135373, 136539, 137710, 138886, 140067, 141253, 142444, 143640, 144841, 146047, 147258, 148474, 149695, 150921, 152152, 153388, 154629, 155875, 157126, 158382, 159643, 160909, 162180, 163456, 164737, 166023, 167314, 168610, 169911, 171217, 172528, 173844, 175165, 176491, 177822, 179158, 180499, 181845, 183196, 184552, 185913, 187279, 188650, 190026, 191407, 192793, 194184, 195580, 196981, 198387, 199798, 201214, 202635, 204061, 205492, 206928, 208369, 209815, 211266, 212722, 214183, 215649, 217120, 218596, 220077, 221563, 223054, 224550, 226051, 227557, 229068, 230584, 232105, 233631, 235162, 236698, 238239, 239785, 241336, 242892, 244453, 246019, 247590, 249166, 250747, 252333, 253924, 255520, 257121, 258727, 260338, 261954, 263575, 265201, 266832, 268468, 270109, 271755, 273406, 275062, 276723, 278389, 280060, 281736, 283417, 285103, 286794, 288490, 290191, 291897, 293608, 295324, 297045, 298771, 300502, 302238, 303979, 305725, 307476, 309232, 310993, 312759, 314530, 316306, 318087, 319873, 321664, 323460, 325261, 327067, 328878, 330694, 332515, 334341, 336172, 338008, 339849, 341695, 343546, 345402, 347263, 349129, 351000, 352876, 354757, 356643, 358534, 360430, 362331, 364237, 366148, 368064, 369985, 371911, 373842, 375778, 377719, 379665, 381616, 383572, 385533, 387499, 389470, 391446, 393427, 395413, 397404, 399400, 401401, 403407, 405418, 407434, 409455, 411481, 413512, 415548, 417589, 419635, 421686, 423742, 425803, 427869, 429940, 432016, 434097, 436183, 438274, 440370, 442471, 444577, 446688, 448804, 450925, 453051, 455182, 457318, 459459, 461605, 463756, 465912, 468073, 470239, 472410, 474586, 476767, 478953, 481144, 483340, 485541, 487747, 489958, 492174, 494395, 496621, 498852, 501088, 503329, 505575, 507826, 510082, 512343, 514609, 516880, 519156, 521437, 523723, 526014, 528310, 530611, 532917, 535228, 537544, 539865, 542191, 544522, 546858, 549199, 551545, 553896, 556252, 558613, 560979, 563350, 565726, 568107, 570493, 572884, 575280, 577681, 580087, 582498, 584914, 587335, 589761, 592192, 594628, 597069, 599515, 601966, 604422, 606883, 609349, 611820, 614296, 616777, 619263, 621754, 624250, 626751, 629257, 631768, 634284, 636805, 639331, 641862, 644398, 646939, 649485, 652036, 654592, 657153, 659719, 662290, 664866, 667447, 670033, 672624, 675220, 677821, 680427, 683038, 685654, 688275, 690901, 693532, 696168, 698809, 701455, 704106, 706762, 709423, 712089, 714760, 717436, 720117, 722803, 725494, 728190, 730891, 733597, 736308, 739024, 741745, 744471, 747202, 749938, 752679, 755425, 758176, 760932, 763693, 766459, 769230, 772006, 774787, 777573, 780364, 783160, 785961, 788767, 791578, 794394, 797215, 800041, 802872, 805708, 808549, 811395, 814246, 817102, 819963, 822829, 825700, 828576, 831457, 834343, 837234, 840130, 843031, 845937, 848848, 851764, 854685, 857611, 860542, 863478, 866419, 869365, 872316, 875272, 878233, 881199, 884170, 887146, 890127, 893113, 896104, 899100.

Distribution of the remainders when the numbers in this family are divided by n=2, 3,..., 11. (I took into account 20000000 values, from 1 to 999999970000000).

n\r 0  1 
21000000010000000 2 
36666666133333340 3 
45000000500000050000005000000 4 
540000004000000400000040000004000000 5 
6333333366666670333333366666670 6 
75714285285714300571428605714286 7 
825000002500000250000025000002500000250000025000002500000 8 
9666666644444450044444440044444450 9 
102000000200000020000002000000200000020000002000000200000020000002000000 10 
1136363633636364363636403636363181818203636364000

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.