A303681 Number of nX7 0..1 arrays with every element unequal to 0, 1 or 3 king-move adjacent elements, with upper left element zero.

21, 103, 57, 90, 150, 245, 367, 509, 697, 957, 1311, 1851, 2671, 3869, 5547, 7907, 11275, 16101, 22959, 32717, 46663, 66633, 95139, 135763, 193701, 276435, 394533, 563013, 803377, 1146445, 1636117, 2334893, 3331971, 4754851, 6785501, 9683407

Offset

1,1

Comments

Column 7 of A303682.

Links

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

Formula

Empirical: a(n) = a(n-1) +a(n-4) +a(n-8) for n>14

Example

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

Crossrefs

Cf. A303682.

Sequence in context: A044653 A076454 A208538 * A304132 A304220 A305481

Adjacent sequences: A303678 A303679 A303680 * A303682 A303683 A303684

Keyword

nonn

Author

R. H. Hardin, Apr 28 2018

Status

approved