A316810 Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero.

4, 32, 227, 1603, 11339, 80196, 567185, 4011528, 28372197, 200667334, 1419255442, 10037936386, 70995092862, 502125441515, 3551371640686, 25117708652986, 177649469535317, 1256457524264038, 8886519697845327, 62851493835499033

Offset

1,1

Comments

Column 3 of A316815.

Links

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

Formula

Empirical: a(n) = 6*a(n-1) +10*a(n-2) -7*a(n-3) -64*a(n-4) -51*a(n-5) for n>6

Example

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

Crossrefs

Cf. A316815.

Sequence in context: A316955 A299735 A099269 * A299656 A125823 A320366

Adjacent sequences: A316807 A316808 A316809 * A316811 A316812 A316813

Keyword

nonn

Author

R. H. Hardin, Jul 14 2018

Status

approved