A302678 Number of nX6 0..1 arrays with every element equal to 0, 1, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

13, 13, 40, 76, 187, 453, 1125, 2782, 6843, 16908, 41758, 103027, 254329, 627855, 1549720, 3825349, 9442726, 23308474, 57535003, 142020909, 350567119, 865346622, 2136039825, 5272643974, 13015100410, 32126739133, 79302295311, 195751392919

Offset

1,1

Comments

Column 6 of A302680.

Links

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

Formula

Empirical: a(n) = a(n-1) +2*a(n-2) +4*a(n-3) +a(n-4) -2*a(n-5) -a(n-6) for n>12

Example

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

Crossrefs

Cf. A302680.

Sequence in context: A210475 A304268 A214466 * A147249 A321654 A302513

Adjacent sequences: A302675 A302676 A302677 * A302679 A302680 A302681

Keyword

nonn

Author

R. H. Hardin, Apr 11 2018

Status

approved