A298915 Number of nX6 0..1 arrays with every element equal to 0, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

1, 5, 5, 6, 9, 14, 24, 44, 81, 156, 306, 602, 1192, 2370, 4720, 9415, 18797, 37547, 75032, 149981, 299846, 599534, 1198852, 2397405, 4794400, 9588236, 19175692, 38350310, 76699140, 153396236, 306789653, 613575417, 1227145465, 2454283522, 4908556821

Offset

1,2

Comments

Column 6 of A298917.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) -2*a(n-2) +a(n-3) -2*a(n-4) -a(n-7) +2*a(n-8) for n>9

Example

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

Crossrefs

Cf. A298917.

Sequence in context: A376743 A019528 A191695 * A008945 A008705 A348293

Adjacent sequences: A298912 A298913 A298914 * A298916 A298917 A298918

Keyword

nonn

Author

R. H. Hardin, Jan 29 2018

Status

approved