A303717 Number of nX6 0..1 arrays with every element unequal to 0, 1 or 5 king-move adjacent elements, with upper left element zero.

13, 13, 24, 76, 169, 343, 741, 1618, 3451, 7390, 15924, 34201, 73387, 157681, 338754, 727483, 1562542, 3356380, 7209057, 15484111, 33258613, 71436250, 153437331, 329568094, 707879620, 1520453233, 3265779603, 7014566209, 15066579706

Offset

1,1

Comments

Column 6 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..1..0..0..0..0. .0..0..0..1..0..0. .0..1..0..0..1..0. .0..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..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..0..0..0
..0..0..0..0..0..0. .1..0..0..0..0..1. .0..0..0..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..0..0..0..0

Crossrefs

Cf. A303719.

Sequence in context: A072519 A060362 A003888 * A040157 A003889 A166545

Adjacent sequences: A303714 A303715 A303716 * A303718 A303719 A303720

Keyword

nonn

Author

R. H. Hardin, Apr 29 2018

Status

approved