A303716 Number of nX5 0..1 arrays with every element unequal to 0, 1 or 5 king-move adjacent elements, with upper left element zero.

8, 7, 14, 36, 81, 169, 361, 784, 1681, 3600, 7744, 16641, 35721, 76729, 164836, 354025, 760384, 1633284, 3508129, 7535025, 16184529, 34762816, 74666881, 160376896, 344473600, 739894401, 1589218225, 3413480625, 7331811876, 15747991081

Offset

1,1

Comments

Column 5 of A303719.

Links

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

Formula

Empirical: a(n) = a(n-1) +a(n-2) +3*a(n-3) +a(n-4) -a(n-5) -a(n-6) for n>9

Example

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

Crossrefs

Cf. A303719.

Sequence in context: A051011 A298666 A309628 * A309629 A075573 A317706

Adjacent sequences: A303713 A303714 A303715 * A303717 A303718 A303719

Keyword

nonn

Author

R. H. Hardin, Apr 29 2018

Status

approved