A302304 Number of nX3 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

3, 11, 13, 33, 58, 153, 336, 937, 2449, 6560, 18488, 52053, 147896, 425764, 1229112, 3561761, 10353391, 30135225, 87835075, 256217794, 747737289, 2183170380, 6375689391, 18622164403, 54399493814, 158924553086, 464309179701

Offset: 1

Author

R. H. Hardin, Apr 05 2018

Keywords

• nonn

Comments

Column 3 of A302309.

Examples

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

Links

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

Crossrefs

Cf. A302309.

Formula

Empirical: a(n) = 3*a(n-1) -2*a(n-2) +13*a(n-3) -23*a(n-4) +13*a(n-5) -42*a(n-6) +25*a(n-7) -21*a(n-8) -36*a(n-9) +48*a(n-10) -24*a(n-11) +8*a(n-12) +32*a(n-13) for n>16