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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 (list; graph; refs; listen; history; text; internal format)
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(n-1) -2*a(n-2) +13*a(n-3) -23*a(n-4) +12*a(n-5) -42*a(n-6) +32*a(n-7) -24*a(n-8) -18*a(n-9) +24*a(n-10) +40*a(n-11) +32*a(n-12)

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

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Last modified December 9 05:44 EST 2021. Contains 349627 sequences. (Running on oeis4.)