A298916 Number of nX7 0..1 arrays with every element equal to 0, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

1, 8, 8, 9, 15, 24, 40, 76, 141, 277, 570, 1171, 2441, 5157, 10913, 23193, 49468, 105598, 225691, 482849, 1033370, 2212340, 4737746, 10147163, 21735151, 46560372, 99744293, 213684681, 457793103, 980778481, 2101245689, 4501796828, 9644879742

Offset: 1

Author

R. H. Hardin, Jan 29 2018

Keywords

• nonn

Comments

Column 7 of A298917.

Examples

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

Links

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

Crossrefs

Cf. A298917.

Formula

Empirical: a(n) = 4*a(n-1) -5*a(n-2) +5*a(n-3) -9*a(n-4) +7*a(n-5) -2*a(n-6) -a(n-7) +7*a(n-8) -5*a(n-9) +3*a(n-10) -2*a(n-11) -a(n-12) +a(n-13) -a(n-14) for n>15