A317514 Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero.

16, 512, 16193, 512096, 16198017, 512358002, 16206294085, 512618027974, 16214518668763, 512878209047100, 16222748416081381, 513138522010061984, 16230982323203400539, 513398967094466982056, 16239220409770473726471

Offset

1,1

Comments

Column 5 of A317517.

Links

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

Formula

Empirical: a(n) = 31*a(n-1) -3*a(n-2) +708*a(n-3) +474*a(n-4) +2957*a(n-5) +2350*a(n-6) -1836*a(n-7) -1440*a(n-8)

Example

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

Crossrefs

Cf. A317517.

Sequence in context: A303418 A301404 A303424 * A300179 A013825 A099772

Adjacent sequences: A317511 A317512 A317513 * A317515 A317516 A317517

Keyword

nonn

Author

R. H. Hardin, Jul 30 2018

Status

approved