A317560 Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

4, 32, 228, 1619, 11510, 81814, 581541, 4133710, 29383111, 208860377, 1484616765, 10552920182, 75012037028, 533198924617, 3790072965570, 26940513998485, 191497974085549, 1361201723303423, 9675664405327884, 68776346725332218

Offset

1,1

Comments

Column 3 of A317565.

Links

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

Formula

Empirical: a(n) = 6*a(n-1) +11*a(n-2) -11*a(n-3) -72*a(n-4) -54*a(n-5) for n>6

Example

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

Crossrefs

Cf. A317565.

Sequence in context: A299656 A125823 A320366 * A302742 A300210 A302736

Adjacent sequences: A317557 A317558 A317559 * A317561 A317562 A317563

Keyword

nonn

Author

R. H. Hardin, Jul 31 2018

Status

approved