cp's OEIS Frontend

A359862 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 2 x n square grid of points using only a compass.

%I A359862 #12 Jan 17 2023 09:56:59
%S A359862 3,0,16,29,0,102,117,10,2,4,368,402,64,26,1,12,860,903,252,52,0,2,12,
%T A359862 1812,2028,520,110,4,3,24,3168,3841,960,204,8,6,32,5420,6804,1748,362,
%U A359862 24,11,44,8388,10987,2826,552,46,14,56,12808,17122,4448,922,72,17,64,18348,25257,6594,1370,82,26
%N A359862 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 2 x n square grid of points using only a compass.
%C A359862 See A359859 and A359860 for further details and images of the circles.
%H A359862 Scott R. Shannon, <a href="/A359862/a359862.jpg">Image for n = 7</a>.
%F A359862 Sum of row n = A359860(n).
%e A359862 The table begins:
%e A359862    3;
%e A359862    0,    16,    29;
%e A359862    0,   102,   117,   10,    2;
%e A359862    4,   368,   402,   64,   26,  1;
%e A359862   12,   860,   903,  252,   52,  0,  2;
%e A359862   12,  1812,  2028,  520,  110,  4,  3;
%e A359862   24,  3168,  3841,  960,  204,  8,  6;
%e A359862   32,  5420,  6804, 1748,  362, 24, 11;
%e A359862   44,  8388, 10987, 2826,  552, 46, 14;
%e A359862   56, 12808, 17122, 4448,  922, 72, 17;
%e A359862   64, 18348, 25257, 6594, 1370, 82, 26;
%e A359862   ...
%Y A359862 Cf. A359859 (vertices), A359860 (regions), A359861 (edges), A001859, A359258.
%K A359862 nonn,tabf
%O A359862 1,1
%A A359862 _Scott R. Shannon_, Jan 16 2023