A301948 Number of nX5 0..1 arrays with every element equal to 1, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

3, 52, 680, 9084, 120815, 1608681, 21418808, 285190208, 3797277789, 50560399640, 673206912325, 8963686254378, 119350632636165, 1589142359440249, 21159279866124406, 281733805537736001, 3751258912615316186

Offset: 1

Author

R. H. Hardin, Mar 29 2018

Keywords

• nonn

Comments

Column 5 of A301951.

Examples

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

Links

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

Crossrefs

Cf. A301951.

Formula

Empirical: a(n) = 16*a(n-1) -29*a(n-2) -114*a(n-3) +324*a(n-4) +8*a(n-5) -709*a(n-6) +690*a(n-7) +158*a(n-8) -448*a(n-9) -34*a(n-10) +116*a(n-11) +27*a(n-12) -4*a(n-13) for n>15