A298919 Number of nX3 0..1 arrays with every element equal to 1, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

0, 4, 1, 2, 3, 5, 8, 16, 21, 34, 55, 89, 144, 236, 377, 610, 987, 1597, 2584, 4184, 6765, 10946, 17711, 28657, 46368, 75028, 121393, 196418, 317811, 514229, 832040, 1346272, 2178309, 3524578, 5702887, 9227465, 14930352, 24157820, 39088169

Offset

1,2

Comments

Column 3 of A298924.

Links

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

Formula

Empirical: a(n) = a(n-1) +a(n-2) +a(n-6) -a(n-7) -a(n-8)

Example

All 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..0. .1..1..1
..1..1..1. .0..0..0. .1..1..1
..1..1..1. .0..0..0. .1..1..1

Crossrefs

Cf. A298924.

Sequence in context: A215645 A075617 A055182 * A190649 A171172 A084454

Adjacent sequences: A298916 A298917 A298918 * A298920 A298921 A298922

Keyword

nonn

Author

R. H. Hardin, Jan 29 2018

Status

approved