A337229 - OEIS

%I #27 Apr 18 2022 12:30:43

%S 14,8,56,24,88,104,16,156,204,48,208,460,88,328,760,116,24,498,1088,

%T 304,716,1608,492,24,894,2632,420,0,24,20,1282,3436,756,108,1730,4780,

%U 852,104,2156,6332,1348,136,2844,8236,1632,152,3594,10464,2388,148,4432,13632,2260,404

%N Irregular table read by rows: row n gives the number of 3-gon to k-gon contacts, with k>=3, for an n X 2 grid of congruent rectangles divided by drawing diagonals of all possible rectangles (cf. A335701).

%C See A335701 for other images of the n X 2 grid of congruent rectangles.

%H Scott R. Shannon, <a href="/A337229/a337229.png">Image for n=1 with edge-count coloring</a>. This is the first n-gon with 3-gon to 3-gon and 3-gon to 4-gon contacts.

%H Scott R. Shannon, <a href="/A337229/a337229_1.png">Image for n=3 with edge-count coloring</a>. This is the first n-gon with 3-gon to 5-gon contacts.

%H Scott R. Shannon, <a href="/A337229/a337229_2.png">Image for n=6 with edge-count coloring</a>. This is the first n-gon with 3-gon to 6-gon contacts.

%H Scott R. Shannon, <a href="/A337229/a337229_3.png">Image for n=9 with edge-count coloring</a>. This is the first n-gon with 3-gon to 7-gon and 3-gon to 8-gon contacts.

%e The table begins:

%e .

%e 14, 8;

%e 56, 24;

%e 88, 104, 16;

%e 156, 204, 48;

%e 208, 460, 88;

%e 328, 760, 116, 24;

%e 498, 1088, 304;

%e 716, 1608, 492, 24;

%e 894, 2632, 420, 0, 24, 20;

%e 1282, 3436, 756, 108;

%e 1730, 4780, 852, 104;

%e 2156, 6332, 1348, 136;

%e 2844, 8236, 1632, 152;

%e 3594, 10464, 2388, 148;

%e 4432, 13632, 2260, 404;

%e 5530, 16604, 3354, 256;

%e 6812, 20700, 3668, 280;

%Y Cf. A335701, A331454, A331766, A331763, A336731.

%K nonn,tabf

%O 1,1

%A _Scott R. Shannon_, Aug 20 2020