A303724 Number of nX5 0..1 arrays with every element unequal to 0, 1, 2 or 3 king-move adjacent elements, with upper left element zero.

16, 120, 77, 133, 219, 345, 564, 974, 1715, 2992, 5222, 9175, 16164, 28488, 50193, 88452, 155956, 275011, 484934, 855114, 1507919, 2659158, 4689360, 8269543, 14583134, 25717084, 45351643, 79976894, 141037974, 248718277, 438610954

Offset

1,1

Comments

Column 5 of A303727.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) -a(n-4) -a(n-6) -a(n-7) +2*a(n-8) for n>12

Example

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

Crossrefs

Cf. A303727.

Sequence in context: A210428 A283037 A093740 * A305227 A304772 A316515

Adjacent sequences: A303721 A303722 A303723 * A303725 A303726 A303727

Keyword

nonn

Author

R. H. Hardin, Apr 29 2018

Status

approved