A295843 Number of nX4 0..1 arrays with each 1 adjacent to 1 or 2 king-move neighboring 1s.

7, 80, 467, 3472, 26544, 190943, 1406191, 10368395, 76065766, 559211037, 4111221322, 30212555454, 222067156015, 1632220938953, 11996626285105, 88175181043436, 648086759944753, 4763418970827514, 35011041414972132

Offset

1,1

Comments

Column 4 of A295847.

Links

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

Formula

Empirical: a(n) = 6*a(n-1) +6*a(n-2) +47*a(n-3) -138*a(n-4) +33*a(n-5) +55*a(n-6) -397*a(n-7) -225*a(n-8) +305*a(n-9) -243*a(n-10) -191*a(n-11) +206*a(n-12) -56*a(n-13) -26*a(n-14) +21*a(n-15) +2*a(n-16)

Example

Some solutions for n=6
..0..0..1..0. .0..0..0..0. .0..0..0..1. .0..0..0..0. .0..0..0..0
..0..0..1..0. .0..0..0..0. .1..0..1..0. .1..0..0..1. .0..1..0..1
..0..0..1..0. .0..1..1..0. .1..0..0..0. .0..1..0..1. .1..0..1..0
..0..0..0..0. .0..0..0..0. .1..0..1..1. .1..0..0..1. .0..0..0..0
..0..1..0..1. .1..1..0..0. .1..0..0..0. .0..0..0..1. .0..0..1..0
..1..0..1..0. .1..0..0..0. .1..0..0..0. .1..1..0..0. .0..1..0..1

Crossrefs

Cf. A295847.

Sequence in context: A093947 A222137 A115986 * A085606 A365817 A264691

Adjacent sequences: A295840 A295841 A295842 * A295844 A295845 A295846

Keyword

nonn

Author

R. H. Hardin, Nov 29 2017

Status

approved