

A302455


Number of nX3 0..1 arrays with every element equal to 0, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.


1



1, 11, 18, 55, 177, 474, 1397, 4135, 11882, 34847, 101857, 296482, 867237, 2532855, 7392050, 21600199, 63090609, 184246522, 538224973, 1572126423, 4591906058, 13413050687, 39179099921, 114439818402, 334276528661, 976412435063
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OFFSET

1,2


COMMENTS

Column 3 of A302460.


LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210


FORMULA

Empirical: a(n) = 3*a(n1) 2*a(n2) +13*a(n3) 23*a(n4) +12*a(n5) 42*a(n6) +32*a(n7) 24*a(n8) 18*a(n9) +24*a(n10) +40*a(n11) +32*a(n12)


EXAMPLE

Some solutions for n=5
..0..0..1. .0..0..0. .0..0..0. .0..1..0. .0..0..0. .0..0..1. .0..1..1
..1..0..0. .1..0..1. .1..0..1. .1..1..1. .0..0..1. .0..0..0. .0..1..1
..1..0..1. .1..0..0. .1..0..1. .0..1..1. .1..0..1. .1..0..1. .0..1..1
..0..0..1. .0..0..0. .0..0..0. .1..1..1. .0..0..0. .1..0..1. .1..1..0
..0..0..1. .1..0..1. .0..0..1. .0..1..0. .1..0..0. .0..0..0. .1..1..0


CROSSREFS

Cf. A302460.
Sequence in context: A037006 A188892 A168433 * A303237 A066950 A214495
Adjacent sequences: A302452 A302453 A302454 * A302456 A302457 A302458


KEYWORD

nonn


AUTHOR

R. H. Hardin, Apr 08 2018


STATUS

approved



