A302620 Number of nX5 0..1 arrays with every element equal to 0, 1, 2 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

16, 78, 79, 251, 896, 2669, 8283, 25770, 79047, 246053, 762945, 2360425, 7321295, 22685256, 70286966, 217858158, 675095417, 2092068068, 6483475187, 20091819256, 62264156028, 192956081997, 597964496726, 1853080152322, 5742656322238

Offset

1,1

Comments

Column 5 of A302623.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +3*a(n-2) +6*a(n-3) -12*a(n-4) -6*a(n-5) -7*a(n-6) -4*a(n-7) +20*a(n-9) +30*a(n-10) +4*a(n-11) -19*a(n-12) -36*a(n-13) +4*a(n-14) +16*a(n-15) for n>20

Example

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

Crossrefs

Cf. A302623.

Sequence in context: A082966 A198182 A281466 * A195976 A302412 A303179

Adjacent sequences: A302617 A302618 A302619 * A302621 A302622 A302623

Keyword

nonn

Author

R. H. Hardin, Apr 10 2018

Status

approved