A304228 Number of nX6 0..1 arrays with every element unequal to 0, 1, 2 or 7 king-move adjacent elements, with upper left element zero.

32, 13, 16, 46, 89, 306, 1047, 2561, 7117, 22405, 61758, 171188, 506407, 1443870, 4062403, 11720400, 33602232, 95454370, 273283613, 782856603, 2233286246, 6382670544, 18262055338, 52173909746, 149087991997, 426291895548

Offset

1,1

Comments

Column 6 of A304230.

Links

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

Formula

Empirical: a(n) = a(n-1) +a(n-2) +14*a(n-3) +a(n-4) -5*a(n-5) -33*a(n-6) -3*a(n-7) +5*a(n-8) +9*a(n-9) +3*a(n-11) +5*a(n-12) for n>18

Example

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

Crossrefs

Cf. A304230.

Sequence in context: A070616 A079809 A070629 * A305038 A305584 A316691

Adjacent sequences: A304225 A304226 A304227 * A304229 A304230 A304231

Keyword

nonn

Author

R. H. Hardin, May 08 2018

Status

approved