cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A325784 Reading the first row of this array or its successive antidiagonals is the same as reading this sequence.

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%I A325784 #12 Jun 07 2019 11:09:24
%S A325784 1,2,3,3,4,5,3,6,7,8,4,9,10,11,12,5,13,14,15,16,17,3,18,19,20,21,22,
%T A325784 23,6,24,25,26,27,28,29,30,7,31,32,33,34,35,36,37,38,8,39,40,41,42,43,
%U A325784 44,45,46,47,4,48,49,50,51,52,53,54,55,56,57,9,58,59,60,61,62,63,64,65,66,67,68,10,69,70,71,72,73,74,75,76,77,78,79,80,11
%N A325784 Reading the first row of this array or its successive antidiagonals is the same as reading this sequence.
%C A325784 The array is always extended by its antidiagonals with the smallest term not yet present that doesn't lead to a contradiction. The sequence is thus the lexicographically earliest of its kind.
%F A325784 a(n*(n-1)/2 + 1) = a(n). - _Rémy Sigrist_, May 21 2019
%e A325784 Array:
%e A325784    1  2  3  3   4   5   3   6   7   8   4 ...
%e A325784    3  4  6  9  13  18  24  31  39  48  58 ...
%e A325784    5  7 10 14  19  25  32  40  49  59  70 ...
%e A325784    8 11 15 20  26  33  41  50  60  71  83 ...
%e A325784   12 16 21 27  34  42  51  61  72  84  97 ...
%e A325784   17 22 28 35  43  52  62  73  85  98 112 ...
%e A325784   23 29 36 44  53  63  74  86  99 113 128 ...
%e A325784   30 37 45 54  64  75  87 100 114 129 145 ...
%e A325784   38 46 55 65  76  88 101 115 130 146 163 ...
%e A325784   47 56 66 77  89 102 116 131 147 164 182 ...
%e A325784   57 67 78 90 103 117 132 148 165 183 202 ...
%e A325784   ...
%Y A325784 Cf. A325783 and A325785 where the same idea is developed.
%Y A325784 Cf. A000124.
%K A325784 nonn,tabl
%O A325784 1,2
%A A325784 _Eric Angelini_, May 21 2019