[seqfan] Re: Integers which are anagrams of other integers -- in English

Sean A. Irvine sairvin at xtra.co.nz
Wed Jul 21 23:51:51 CEST 2010


As the size increases there can be many numbers which are anagrammatically
equivalent.  For example, for numbers less than 1000000, there are 144
numbers that reduce to "adddddeeeeefhhhiinnnnnnooorrrssstttuuuuvwxy".

I get the following terms < 1000 for the sequence as described
(there still could be terms missing because I only examined numbers
up to 1000000 to produce this list).

67, 69, 76, 79, 96, 97, 102, 103, 104, 105, 106, 107, 108, 109, 112,
122, 123, 124, 125, 126, 127, 128, 129, 132, 133, 134, 135, 136, 137,
138, 139, 142, 143, 144, 145, 146, 147, 148, 149, 152, 153, 154, 155,
156, 157, 158, 159, 162, 163, 164, 165, 166, 167, 168, 169, 172, 173,
174, 175, 176, 177, 178, 179, 182, 183, 184, 185, 186, 187, 188, 189,
192, 193, 194, 195, 196, 197, 198, 199, 201, 203, 204, 205, 206, 207,
208, 209, 211, 221, 223, 224, 225, 226, 227, 228, 229, 231, 233, 234,
235, 236, 237, 238, 239, 241, 243, 244, 245, 246, 247, 248, 249, 251,
253, 254, 255, 256, 257, 258, 259, 261, 263, 264, 265, 266, 267, 268,
269, 271, 273, 274, 275, 276, 277, 278, 279, 281, 283, 284, 285, 286,
287, 288, 289, 291, 293, 294, 295, 296, 297, 298, 299, 301, 302, 304,
305, 306, 307, 308, 309, 321, 322, 324, 325, 326, 327, 328, 329, 331,
332, 334, 335, 336, 337, 338, 339, 341, 342, 344, 345, 346, 347, 348,
349, 351, 352, 354, 355, 356, 357, 358, 359, 361, 362, 364, 365, 366,
367, 368, 369, 371, 372, 374, 375, 376, 377, 378, 379, 381, 382, 384,
385, 386, 387, 388, 389, 391, 392, 394, 395, 396, 397, 398, 399, 401,
402, 403, 405, 406, 407, 408, 409, 416, 417, 419, 421, 422, 423, 425,
426, 427, 428, 429, 431, 432, 433, 435, 436, 437, 438, 439, 441, 442,
443, 445, 446, 447, 448, 449, 451, 452, 453, 455, 456, 457, 458, 459,
461, 462, 463, 465, 466, 467, 468, 469, 471, 472, 473, 475, 476, 477,
478, 479, 481, 482, 483, 485, 486, 487, 488, 489, 491, 492, 493, 495,
496, 497, 498, 499, 501, 502, 503, 504, 506, 507, 508, 509, 521, 522,
523, 524, 526, 527, 528, 529, 531, 532, 533, 534, 536, 537, 538, 539,
541, 542, 543, 544, 546, 547, 548, 549, 551, 552, 553, 554, 556, 557,
558, 559, 561, 562, 563, 564, 566, 567, 568, 569, 571, 572, 573, 574,
576, 577, 578, 579, 581, 582, 583, 584, 586, 587, 588, 589, 591, 592,
593, 594, 596, 597, 598, 599, 601, 602, 603, 604, 605, 607, 608, 609,
614, 617, 619, 621, 622, 623, 624, 625, 627, 628, 629, 631, 632, 633,
634, 635, 637, 638, 639, 641, 642, 643, 644, 645, 647, 648, 649, 651,
652, 653, 654, 655, 657, 658, 659, 661, 662, 663, 664, 665, 667, 668,
669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 681, 682, 683,
684, 685, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698,
699, 701, 702, 703, 704, 705, 706, 708, 709, 714, 716, 719, 721, 722,
723, 724, 725, 726, 728, 729, 731, 732, 733, 734, 735, 736, 738, 739,
741, 742, 743, 744, 745, 746, 748, 749, 751, 752, 753, 754, 755, 756,
758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 771, 772,
773, 774, 775, 776, 778, 779, 781, 782, 783, 784, 785, 786, 788, 789,
790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 801, 802, 803, 804,
805, 806, 807, 809, 821, 822, 823, 824, 825, 826, 827, 829, 831, 832,
833, 834, 835, 836, 837, 839, 841, 842, 843, 844, 845, 846, 847, 849,
851, 852, 853, 854, 855, 856, 857, 859, 861, 862, 863, 864, 865, 866,
867, 869, 871, 872, 873, 874, 875, 876, 877, 879, 881, 882, 883, 884,
885, 886, 887, 889, 891, 892, 893, 894, 895, 896, 897, 899, 901, 902,
903, 904, 905, 906, 907, 908, 914, 916, 917, 921, 922, 923, 924, 925,
926, 927, 928, 931, 932, 933, 934, 935, 936, 937, 938, 941, 942, 943,
944, 945, 946, 947, 948, 951, 952, 953, 954, 955, 956, 957, 958, 960,
961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974,
975, 976, 977, 978, 979, 981, 982, 983, 984, 985, 986, 987, 988, 991,
992, 993, 994, 995, 996, 997, 998


Andrew Weimholt wrote:
> ONE HUNDRED TWO <-> TWO HUNDRED ONE
> ONE HUNDRED THREE <-> THREE HUNDRED ONE
> ...
> So far, these all seem trivial - we're just exchaning words
> (or suffixes in the case of "TY").
> 
> ONE HUNDRED TWELVE <-> TWO HUNDRED ELEVEN
> looks like the first non-trivial one.
> 
> Andrew
> 
> On 7/21/10, Eric Angelini <Eric.Angelini at kntv.be> wrote:
>>  Hello SeqFans,
>>
>>  ... the above described seq may exist already -- but I cannot find it.
>>  It begins (not sure) with:
>>
>>  67, 69, 76, 96,...
>>
>>  SIXTY-SEVEN <-> SEVENTY-SIX
>>  SIXTY-NINE <-> NINETY-SIX
>>  SEVENTY-SIX <-> SIXTY-SEVEN
>>  NINETY-SIX <-> NINETY-SIX
>>  ...
>>
>>  Best,
>>  É.
>>
>>
>>
>>
>>  _______________________________________________
>>
>>  Seqfan Mailing list - http://list.seqfan.eu/
>>
> 
> 
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