proposed

approved

editing

proposed

Lexicographically earliest sequence of distinct positive integers such that the sum of the last two digits of the seuence sequence starts the new term.

1, 2, 3, 5, 8, 13, 4, 7, 11, 20, 21, 30, 31, 40, 41, 50, 51, 6, 70, 71, 80, 81, 9, 10, 12, 32, 52, 72, 90, 91, 101, 14, 53, 82, 102, 22, 42, 60, 61, 73, 103, 33, 62, 83, 110, 15, 63, 92, 111, 23, 54, 93, 120, 24, 64, 104, 43, 74, 112, 34, 75, 121, 35, 84, 122, 44, 85, 130, 36, 94, 131, 45, 95, 140, 46, 105, 55, 106, 65, 113, 47, 114, 56, 115, 66, 123, 57, 124, 67, 132, 58, 133, 68, 141, 59, 142, 69, 150, 501, 16, 76, 134, 77, 143, 78, 151, 601, 17, 86, 144, 87, 152, 79, 160, 602, 25, 701, 18, 96, 153, 88, 161, 702, 26, 89, 170, 703, 37, 107, 704, 48, 125, 705, 502, 27, 97, 162, 801, 19, 108, 802, 28, 109, 98, 171, 803, 38, 116, 706, 603, 39, 126, 804, 49, 135, 805, 503, 301, 117, 806, 604, 401, 118, 99, 180, 807, 707, 708, 808, 809, 901, 119, 1001, 127, 902, 29, 1101, 128, 1002, 201, 129, 1102, 202, 203, 302, 204, 402, 205, 504, 403, 303, 304, 404, 405, 505, 506, 605, 507, 709, 903, 305, 508, 810, 136, 904, 406, 606, 607, 710, 137, 1003, 306, 608, 811, 206, 609, 905, 509, 906, 610, 138, 1103, 307, 711, 207, 712, 308, 812, 309, 907, 713, 407, 714, 510, 139, 1201, 145, 908, 813, 408, 814, 511, 208, 815, 611, 209, 909, 910, 146, 1004, 409, 911, 210, 147, 1104, 410, 148, 1202, 211, 212, 310, 149, 1301, 154, 912, 311, 213, 411, 214, 512, 312, 313, 412, 314, 513, 413, 414, 514, 515, 612, 315, 613, 415, 614, 516, 715, 615, 616, 716, 717, 816, 718, 913, 416, 719, 1005, 517, 817, 818, 914, 518, 915, 617, 819, 1006

1, 2, 3, 5, 8, 13, 4, 7, 11, 20, 21, 30, 31, 40, 41, 50, 51, 6, 70, 71, 80, 81, 9, 10, 12, 32, 52, 72, 90, 91, 101, 14, 53, 82, 102, 22, 42, 60, 61, 73, 103, 33, 62, 83, 110, 15, 63, 92, 111, 23, 54, 93, 120, 24, 64, 104, 43, 74, 112, 34, 75, 121, 35, 84, 122, 44, 85, 130, 36, 94, 131, 45, 95, 140, 46, 105, 55, 106

Jean-Marc Falcoz, <a href="/A336716/b336716.txt">Table of n, a(n) for n = 1..10002</a>

Lexicographically earliest sequence of distinct positive terms integers such that the sum of the last two digits of the seuence starts the next new term.

1, 2, 3, 5, 8, 13, 4, 7, 11, 20, 21, 30, 31, 40, 41, 50, 51, 6, 70, 71, 80, 81, 9, 10, 12, 32, 52, 72, 90, 91, 101, 14, 53, 82, 102, 22, 42, 60, 61, 73, 103, 43, 74, 33, 62, 83, 110, 104, 44, 82, 105, 53, 83, 15, 63, 92, 111, 23, 54, 92, 112, 33, 62, 84, 93, 120, 24, 63, 93, 121, 64, 104, 43, 74, 112, 34, 75, 121, 35, 84, 122, 45, 94, 44, 85, 130, 35, 85, 36, 94, 131, 45, 95, 140, 46, 105, 55, 106, 64, 65, 113, 47, 114, 56, 115, 66, 123, 57, 124, 67, 132, 58, 133, 68, 141, 59, 142, 69, 150, 501, 16, 76, 134, 77, 143, 78, 151, 601, 17, 86, 144, 87, 152, 79, 160, 602, 25, 701, 18, 96, 153, 88, 161, 702, 26, 89, 170, 703, 37, 107, 704, 48, 125, 705, 502, 27, 97, 162, 801, 19, 108, 802, 28, 109, 98, 171, 803, 38, 116, 706, 603, 39, 126, 804, 49, 135, 805, 503, 301, 117, 806, 604, 401, 118, 99, 180, 807, 707, 708, 808, 809, 901, 119, 1001, 127, 902, 29, 1101, 128, 1002, 201, 129, 1102, 202, 203, 302, 204, 402, 205, 504, 403, 303, 304, 404, 405, 505, 506, 605, 507, 709, 903, 305, 508, 810, 136, 904, 406, 606, 607, 710, 137, 1003, 306, 608, 811, 206, 609, 905, 509, 906, 610, 138, 1103, 307, 711, 207, 712, 308, 812, 309, 907, 713, 407, 714, 510, 139, 1201, 145, 908, 813, 408, 814, 511, 208, 815, 611, 209, 909, 910, 146, 1004, 409, 911, 210, 147, 1104, 410, 148, 1202, 211, 212, 310, 149, 1301, 154, 912, 311, 213, 411, 214, 512, 312, 313, 412, 314, 513, 413, 414, 514, 515, 612, 315, 613, 415, 614, 516, 715, 615, 616, 716, 717, 816, 718, 913, 416, 719, 1005, 517, 817, 818, 914, 518, 915, 617, 819, 1006

Eric Angelini, and _Jean-Marc Falcoz_, Aug 01 2020

approved

editing

proposed

approved

editing

proposed

No term ending with two or more zeros is part of the sequence as the next term would start with zero.

1, 2, 3, 5, 8, 13, 4, 7, 11, 20, 21, 30, 31, 40, 41, 50, 51, 6, 70, 71, 80, 81, 9, 10, 12, 32, 52, 72, 90, 91, 101, 102, 22, 42, 60, 61, 73, 103, 43, 74, 110, 104, 44, 82, 105, 53, 83, 111, 23, 54, 92, 112, 33, 62, 84, 120, 24, 63, 93, 121, 34, 75, 122, 45, 94, 130, 35, 85, 131, 46, 106, 64, 107

Cf. A209685.

proposed

editing

editing

proposed