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.

A083362 Square table, read by antidiagonals, of least distinct positive integers such that the sum of any two consecutive terms in any row is a square number.

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%I A083362 #14 Dec 02 2016 01:13:53
%S A083362 1,3,2,6,7,4,10,9,5,8,15,16,11,17,12,21,20,14,19,13,18,28,29,22,30,23,
%T A083362 31,24,36,35,27,34,26,33,25,32,45,46,37,47,38,48,39,49,40,55,54,44,53,
%U A083362 43,52,42,51,41,50,66,67,56,68,57,69,58,70,59,71,60,78,77,65,76,64,75
%N A083362 Square table, read by antidiagonals, of least distinct positive integers such that the sum of any two consecutive terms in any row is a square number.
%C A083362 A permutation of the natural numbers.
%F A083362 T(0, k) = (k+1)*(k+2)/2 for k>=0, T(n, 0) = floor((n+1)^2/2) for n>0, T(n, k+1) = (2*floor((n+1)/2) + k+1)^2 - T(n, k) for n>0 and k>=0.
%e A083362 Table begins:
%e A083362    1   3   6  10  15  21  28  36  45  55  66 ...
%e A083362    2   7   9  16  20  29  35  46  54  67  77 ...
%e A083362    4   5  11  14  22  27  37  44  56  65  79 ...
%e A083362    8  17  19  30  34  47  53  68  76  93 103 ...
%e A083362   12  13  23  26  38  43  57  64  80  89 107 ...
%e A083362   18  31  33  48  52  69  75  94 102 123 133 ...
%e A083362   24  25  39  42  58  63  81  88 108 117 139 ...
%e A083362   32  49  51  70  74  95 101 124 132 157 167 ...
%e A083362   40  41  59  62  82  87 109 116 140 149 175 ...
%e A083362   50  71  73  96 100 125 131 158 166 195 205 ...
%e A083362   60  61  83  86 110 115 141 148 176 185 215 ...
%e A083362   72  97  99 126 130 159 165 196 204 237 247 ...
%Y A083362 Cf. A083363 (diagonal), A083364 (antidiagonal sums).
%Y A083362 Cf. A000217 (1st row), A080476 (1st column).
%K A083362 nonn,tabl,nice
%O A083362 0,2
%A A083362 _Paul D. Hanna_, Apr 27 2003