A302513 Number of nX6 0..1 arrays with every element equal to 0, 1, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

13, 13, 52, 80, 199, 458, 1088, 2651, 6257, 14765, 35292, 84261, 200040, 475278, 1132373, 2696179, 6411133, 15251746, 36304757, 86394322, 205538228, 489069395, 1163851093, 2769397039, 6589505584, 15679835445, 37311095302, 88781699786

Offset

1,1

Comments

Column 6 of A302515.

Links

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

Formula

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

Example

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

Crossrefs

Cf. A302515.

Sequence in context: A302678 A147249 A321654 * A147013 A147187 A147069

Adjacent sequences: A302510 A302511 A302512 * A302514 A302515 A302516

Keyword

nonn

Author

R. H. Hardin, Apr 09 2018

Status

approved