A298959 Number of nX4 0..1 arrays with every element equal to 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.

0, 2, 2, 7, 14, 34, 75, 174, 396, 907, 2070, 4734, 10819, 24730, 56520, 129187, 295274, 674890, 1542547, 3525702, 8058468, 18418715, 42098446, 96221670, 219927587, 502674114, 1148929360, 2626032755, 6002151458, 13718725330, 31355993907

Offset

1,2

Comments

Column 4 of A298963.

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=5
..0..0..0..0. .0..0..0..0. .0..0..1..1. .0..0..0..0. .0..0..1..1
..0..0..0..0. .0..0..0..0. .0..0..1..1. .0..0..0..0. .0..0..1..1
..1..1..1..1. .0..0..0..0. .0..0..1..1. .1..1..0..0. .0..0..1..1
..1..1..1..1. .1..1..1..1. .1..1..1..1. .1..1..0..0. .0..0..1..1
..1..1..1..1. .1..1..1..1. .1..1..1..1. .1..1..0..0. .0..0..1..1

Crossrefs

Cf. A298963.

Sequence in context: A156435 A344048 A228432 * A162460 A187306 A061274

Adjacent sequences: A298956 A298957 A298958 * A298960 A298961 A298962

Keyword

nonn

Author

R. H. Hardin, Jan 30 2018

Status

approved