A298570 Number of n X 3 0..1 arrays with every element equal to 0, 2, 4, 5 or 7 king-move adjacent elements, with upper left element zero.

1, 4, 1, 2, 14, 10, 12, 72, 82, 90, 400, 600, 702, 2326, 4122, 5330, 14086, 27392, 39040, 88320, 179170, 277358, 568600, 1165362, 1925470, 3726194, 7580456, 13147134, 24677244, 49453854, 88749136, 164309028, 323901436, 594595204, 1096340090

Offset

1,2

Comments

Column 3 of A298575.

Links

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

Formula

Empirical: a(n) = 7*a(n-3) +2*a(n-4) +a(n-5) -10*a(n-6) -2*a(n-7) -2*a(n-8) +2*a(n-9).

Example

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

Crossrefs

Cf. A298575.

Sequence in context: A110559 A365455 A030441 * A284771 A283042 A297823

Adjacent sequences: A298567 A298568 A298569 * A298571 A298572 A298573

Keyword

nonn

Author

R. H. Hardin, Jan 22 2018

Status

approved