A304227 Number of nX5 0..1 arrays with every element unequal to 0, 1, 2 or 7 king-move adjacent elements, with upper left element zero.

16, 8, 11, 20, 31, 89, 237, 494, 1162, 3043, 7055, 16267, 40336, 96915, 227050, 547472, 1320937, 3136649, 7499193, 18030816, 43081957, 102910086, 246694312, 590518839, 1411720911, 3379538295, 8091060448, 19355807443, 46317931730, 110870212016

Offset

1,1

Comments

Column 5 of A304230.

Links

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

Formula

Empirical: a(n) = a(n-1) +9*a(n-3) -14*a(n-6) for n>10

Example

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

Crossrefs

Cf. A304230.

Sequence in context: A355873 A102270 A102272 * A305037 A083536 A305583

Adjacent sequences: A304224 A304225 A304226 * A304228 A304229 A304230

Keyword

nonn

Author

R. H. Hardin, May 08 2018

Status

approved