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.

A362236 Irregular table read by rows: T(n,k) is the number of k-gons, k>=2, among all distinct circles that can be constructed from a point on the origin and n equally spaced points on each of the +x,-x,+y,-y coordinates axes when each pair of points is connected by a circle and where the points lie at the ends of the circles' diameter.

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%I A362236 #11 Jan 04 2024 14:29:12
%S A362236 12,12,8,32,204,120,16,56,928,652,156,4,8,72,2724,2332,504,120,16,4,
%T A362236 96,6416,6120,1648,352,20,8,128,13356,12444,4156,668,52,12,208,24348,
%U A362236 23892,8148,1488,124,24,248,41268,41528,14108,2616,276,36,336,65684,67272,23372,4592,388,52,0,4
%N A362236 Irregular table read by rows: T(n,k) is the number of k-gons, k>=2, among all distinct circles that can be constructed from a point on the origin and n equally spaced points on each of the +x,-x,+y,-y coordinates axes when each pair of points is connected by a circle and where the points lie at the ends of the circles' diameter.
%C A362236 A circle is constructed for every pair of the 1 + 4n points, the two points lying at the ends of a diameter of the circle. The number of distinct circles constructed from the points is A139275(n).
%C A362236 See A362233 and A362234 for images of the circles.
%F A362236 Sum of row n = A362234(n).
%e A362236 The table begins:
%e A362236  12, 12, 8;
%e A362236  32, 204, 120, 16;
%e A362236  56, 928, 652, 156, 4, 8;
%e A362236  72, 2724, 2332, 504, 120, 16, 4;
%e A362236  96, 6416, 6120, 1648, 352, 20, 8;
%e A362236  128, 13356, 12444, 4156, 668, 52, 12;
%e A362236  208, 24348, 23892, 8148, 1488, 124, 24;
%e A362236  248, 41268, 41528, 14108, 2616, 276, 36;
%e A362236  336, 65684, 67272, 23372, 4592, 388, 52, 0, 4;
%e A362236  384, 99440, 105260, 36028, 7316, 708, 60, 4;
%e A362236  464, 144684, 156976, 54136, 10792, 1224, 100, 8;
%e A362236  .
%e A362236  .
%Y A362236 Cf. A362233 (vertices), A362234 (regions), A362235 (edges), A139275 (distinct circles), A361623, A359935.
%K A362236 nonn,tabf
%O A362236 1,1
%A A362236 _Scott R. Shannon_, Apr 13 2023