A296829 Number of nX3 0..1 arrays with each 1 adjacent to 0, 3 or 5 king-move neighboring 1s.

5, 14, 43, 132, 402, 1230, 3755, 11475, 35054, 107091, 327180, 999540, 3053674, 9329255, 28501469, 87074210, 266018951, 812707666, 2482885810, 7585415532, 23174032657, 70798497487, 216295031546, 660798311057, 2018791013454

Offset

1,1

Comments

Column 3 of A296834.

Links

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

Formula

Empirical: a(n) = 4*a(n-2) +20*a(n-3) +13*a(n-4) -27*a(n-5) -98*a(n-6) -115*a(n-7) -77*a(n-8) -13*a(n-9) -7*a(n-10) -15*a(n-11) -24*a(n-12) -4*a(n-13) +2*a(n-14) +4*a(n-15)

Example

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

Crossrefs

Cf. A296834.

Sequence in context: A180774 A210972 A197607 * A102434 A186649 A120901

Adjacent sequences: A296826 A296827 A296828 * A296830 A296831 A296832

Keyword

nonn

Author

R. H. Hardin, Dec 21 2017

Status

approved