

A337229


Irregular table read by rows: row n gives the number of 3gon to kgon 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
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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 edgecount coloring. This is the first ngon with 3gon to 3gon and 3gon to 4gon contacts.
Scott R. Shannon, Image for n=3 with edgecount coloring. This is the first ngon with 3gon to 5gon contacts.
Scott R. Shannon, Image for n=6 with edgecount coloring. This is the first ngon with 3gon to 6gon contacts.
Scott R. Shannon, Image for n=9 with edgecount coloring. This is the first ngon with 3gon to 7gon and 3gon to 8gon 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



