A303726 Number of nX7 0..1 arrays with every element unequal to 0, 1, 2 or 3 king-move adjacent elements, with upper left element zero.

64, 719, 294, 406, 564, 894, 1476, 2252, 3461, 5631, 9362, 15569, 26111, 43960, 73883, 124371, 209956, 354631, 598917, 1012022, 1710721, 2891805, 4888812, 8266307, 13977941, 23636428, 39970625, 67595175, 114312998, 193321957, 326943993

Offset

1,1

Comments

Column 7 of A303727.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) -a(n-4) -a(n-5) +a(n-7) -a(n-8) -a(n-9) +2*a(n-10) for n>18

Example

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

Crossrefs

Cf. A303727.

Sequence in context: A318023 A320408 A223963 * A305229 A304774 A316517

Adjacent sequences: A303723 A303724 A303725 * A303727 A303728 A303729

Keyword

nonn

Author

R. H. Hardin, Apr 29 2018

Status

approved