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A302884 Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1
1, 12, 37, 141, 569, 2262, 8968, 35667, 141839, 563967, 2242515, 8917145, 35457932, 140994125, 560646436, 2229344056, 8864721595, 35249512434, 140165500184, 557351464922, 2216241907025, 8812622737321, 35042347707650, 139341733946132 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 3 of A302889.

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) -a(n-2) +5*a(n-3) -3*a(n-4) -9*a(n-5) -3*a(n-6) -8*a(n-7) +4*a(n-8) +8*a(n-9) +4*a(n-10)

EXAMPLE

Some solutions for n=5

..0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..0..0

..1..0..0. .1..0..1. .0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..0..1

..1..0..1. .0..0..0. .0..0..1. .0..0..1. .1..1..1. .1..0..0. .0..0..1

..0..0..1. .1..0..0. .0..0..0. .0..0..1. .0..1..0. .0..0..0. .1..0..0

..0..0..1. .0..0..0. .0..0..0. .1..0..0. .0..1..0. .0..0..0. .0..0..1

CROSSREFS

Cf. A302889.

Sequence in context: A005892 A266398 A041276 * A057457 A041278 A259524

Adjacent sequences:  A302881 A302882 A302883 * A302885 A302886 A302887

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 15 2018

STATUS

approved

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Last modified September 16 18:45 EDT 2019. Contains 327117 sequences. (Running on oeis4.)