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

Author

R. H. Hardin, Dec 21 2017

Keywords

• nonn

Comments

Column 3 of A296834.

Examples

			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
		

Links

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

Crossrefs

Cf. A296834.

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)