A282436 Number of nX3 0..1 arrays with no 1 equal to more than three of its king-move neighbors, with the exception of exactly one element.

0, 2, 96, 784, 6498, 50962, 378380, 2744000, 19498404, 136375750, 942366144, 6447489300, 43752057470, 294860178246, 1975527311278, 13168916586328, 87397738603826, 577783360045754, 3806594222800152, 25002061781815280

Offset

1,2

Comments

Column 3 of A282441.

Links

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

Formula

Empirical: a(n) = 10*a(n-1) -15*a(n-2) -8*a(n-3) -293*a(n-4) +94*a(n-5) -343*a(n-6) +1808*a(n-7) -899*a(n-8) +3346*a(n-9) -4057*a(n-10) +4868*a(n-11) -7835*a(n-12) +4150*a(n-13) -8245*a(n-14) +3588*a(n-15) -4044*a(n-16) +496*a(n-17) -16*a(n-18)

Example

Some solutions for n=4
..1..0..1. .0..1..0. .0..1..1. .0..0..1. .1..0..1. .0..0..1. .0..1..0
..0..1..1. .1..1..0. .1..1..0. .0..1..1. .1..1..1. .1..1..1. .0..1..0
..0..0..1. .0..1..0. .1..0..0. .1..0..1. .0..0..0. .0..0..1. .0..1..1
..1..0..1. .1..1..0. .1..0..1. .0..0..0. .0..1..1. .0..0..1. .1..1..0

Crossrefs

Cf. A282441.

Sequence in context: A324165 A266831 A281029 * A069121 A362406 A157065

Adjacent sequences: A282433 A282434 A282435 * A282437 A282438 A282439

Keyword

nonn

Author

R. H. Hardin, Feb 15 2017

Status

approved