A297811 Number of nX5 0..1 arrays with every element equal to 2 or 3 king-move adjacent elements, with upper left element zero.

0, 8, 0, 13, 24, 41, 39, 109, 216, 471, 883, 1826, 3771, 7957, 16180, 33265, 68409, 141908, 292327, 602447, 1240608, 2561035, 5282041, 10893334, 22455433, 46313241, 95513864, 196987195, 406204281, 837692722, 1727540167, 3562722575, 7347181938

Offset

1,2

Comments

Column 5 of A297814.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +a(n-2) -2*a(n-3) +4*a(n-4) -4*a(n-5) -8*a(n-6) -a(n-7) +5*a(n-8) +a(n-9) +4*a(n-10) +a(n-11) -3*a(n-12) for n>21

Example

Some solutions for n=7
..0..0..1..1..1. .0..0..0..1..1. .0..0..1..0..0. .0..0..0..0..0
..0..1..0..0..1. .0..1..1..0..1. .0..1..0..1..0. .0..1..1..1..0
..0..1..0..1..0. .1..0..0..0..1. .0..1..0..1..0. .1..0..0..0..1
..0..1..0..1..0. .0..1..1..1..0. .1..0..1..0..1. .0..1..1..1..0
..0..1..0..1..0. .1..0..0..0..1. .1..0..1..0..1. .1..0..0..0..1
..1..0..0..1..0. .0..1..1..0..1. .0..1..1..0..1. .0..1..1..1..0
..1..1..1..0..0. .0..0..0..1..1. .0..0..0..1..1. .0..0..0..0..0

Crossrefs

Cf. A297814.

Sequence in context: A112268 A077062 A189764 * A359686 A325318 A255680

Adjacent sequences: A297808 A297809 A297810 * A297812 A297813 A297814

Keyword

nonn

Author

R. H. Hardin, Jan 06 2018

Status

approved