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A337229 Irregular table read by rows: row n gives the number of 3-gon to k-gon contacts, with k>=3, for a n X 2 grid of congruent rectangles divided by drawing diagonals of all possible rectangles  (cf. A335701). 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified June 16 09:48 EDT 2021. Contains 345056 sequences. (Running on oeis4.)