A337229 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).

14, 8, 56, 24, 88, 104, 16, 156, 204, 48, 208, 460, 88, 328, 760, 116, 24, 498, 1088, 304, 716, 1608, 492, 24, 894, 2632, 420, 0, 24, 20, 1282, 3436, 756, 108, 1730, 4780, 852, 104, 2156, 6332, 1348, 136, 2844, 8236, 1632, 152, 3594, 10464, 2388, 148, 4432, 13632, 2260, 404

Offset: 1

Author

Scott R. Shannon, Aug 20 2020

Keywords

• nonn
• tabf

Comments

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

Examples

			The table begins:
.
14, 8;
56, 24;
88, 104, 16;
156, 204, 48;
208, 460, 88;
328, 760, 116, 24;
498, 1088, 304;
716, 1608, 492, 24;
894, 2632, 420, 0, 24, 20;
1282, 3436, 756, 108;
1730, 4780, 852, 104;
2156, 6332, 1348, 136;
2844, 8236, 1632, 152;
3594, 10464, 2388, 148;
4432, 13632, 2260, 404;
5530, 16604, 3354, 256;
6812, 20700, 3668, 280;
		

Links

• Scott R. Shannon, Image for n=1 with edge-count coloring. This is the first n-gon with 3-gon to 3-gon and 3-gon to 4-gon contacts.
• Scott R. Shannon, Image for n=3 with edge-count coloring. This is the first n-gon with 3-gon to 5-gon contacts.
• Scott R. Shannon, Image for n=6 with edge-count coloring. This is the first n-gon with 3-gon to 6-gon contacts.
• Scott R. Shannon, Image for n=9 with edge-count coloring. This is the first n-gon with 3-gon to 7-gon and 3-gon to 8-gon contacts.

Crossrefs

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