A296669 Number of nX3 0..1 arrays with each 1 adjacent to 0, 2 or 3 king-move neighboring 1s.

5, 25, 82, 334, 1451, 5938, 25144, 108174, 463106, 1993381, 8610853, 37204410, 160918789, 696574539, 3016039293, 13062233333, 56582341392, 245122824458, 1061978868801, 4601176596572, 19935804602906, 86378690816576

Offset

1,1

Comments

Column 3 of A296674.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -a(n-2) +5*a(n-3) -55*a(n-4) -22*a(n-5) +42*a(n-6) +48*a(n-7) +37*a(n-8) -16*a(n-9) +30*a(n-10) -22*a(n-11) +4*a(n-12)

Example

Some solutions for n=7
..0..1..1. .1..0..0. .1..1..0. .0..0..0. .1..1..0. .0..0..1. .0..0..0
..0..1..1. .0..0..1. .1..0..0. .0..1..0. .1..0..1. .0..0..0. .0..0..0
..0..0..0. .0..0..0. .0..1..1. .0..0..0. .0..1..1. .1..1..0. .0..0..0
..1..0..0. .0..0..0. .0..0..1. .0..0..0. .0..0..0. .1..0..1. .0..1..1
..0..0..0. .0..1..0. .0..0..0. .0..0..0. .0..0..0. .0..0..1. .0..1..1
..0..0..0. .0..0..0. .1..1..0. .0..1..0. .0..0..0. .1..1..0. .0..0..0
..0..0..0. .1..0..1. .0..1..1. .1..1..1. .0..0..0. .1..0..0. .1..0..1

Crossrefs

Cf. A296674.

Sequence in context: A264132 A355949 A147114 * A131537 A250555 A147122

Adjacent sequences: A296666 A296667 A296668 * A296670 A296671 A296672

Keyword

nonn

Author

R. H. Hardin, Dec 18 2017

Status

approved