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

1,1

Comments

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

Links

Table of n, a(n) for n=1..54.

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.

Example

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;

Crossrefs

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

Sequence in context: A240245 A119871 A245175 * A010237 A035418 A070602

Adjacent sequences: A337226 A337227 A337228 * A337230 A337231 A337232

Keyword

nonn,tabf

Author

Scott R. Shannon, Aug 20 2020

Status

approved