A298179 Number of nX4 0..1 arrays with every element equal to 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

0, 2, 2, 3, 6, 10, 15, 26, 44, 71, 118, 198, 327, 542, 904, 1503, 2498, 4162, 6935, 11554, 19268, 32151, 53662, 89614, 149735, 250294, 418576, 700335, 1172266, 1963050, 3288695, 5511834, 9241516, 15501095, 26010534, 43661526, 73317447, 123160206

Offset

1,2

Comments

Column 4 of A298183.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +a(n-3) -2*a(n-4) -2*a(n-5)

Example

Some solutions for n=7
..0..0..1..1. .0..0..1..1. .0..0..1..1. .0..0..1..1. .0..0..0..0
..0..0..1..1. .0..0..1..1. .0..0..1..1. .0..0..1..1. .0..0..0..0
..0..0..1..1. .0..0..1..1. .0..0..0..0. .0..0..1..1. .0..0..0..0
..0..0..1..1. .0..0..0..0. .1..1..0..0. .0..0..1..1. .0..0..0..0
..1..1..1..1. .1..1..0..0. .1..1..0..0. .0..0..1..1. .0..0..0..0
..1..1..0..0. .1..1..0..0. .1..1..0..0. .0..0..1..1. .1..1..1..1
..1..1..0..0. .1..1..0..0. .1..1..0..0. .0..0..1..1. .1..1..1..1

Crossrefs

Cf. A298183.

Sequence in context: A137216 A369424 A070550 * A185084 A145778 A102762

Adjacent sequences: A298176 A298177 A298178 * A298180 A298181 A298182

Keyword

nonn

Author

R. H. Hardin, Jan 14 2018

Status

approved