A318542 Number of n X 5 0..1 arrays with every element unequal to 0, 1, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

8, 8, 26, 78, 247, 784, 2349, 7191, 22268, 68384, 210050, 645832, 1985105, 6102355, 18758291, 57660242, 177244228, 544835790, 1674781291, 5148145759, 15824995614, 48644815851, 149530340549, 459644547764, 1412911535090, 4343179473160

Offset: 1

Author

R. H. Hardin, Aug 28 2018

Keywords

• nonn

Comments

Column 5 of A318545.

Examples

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

Links

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

Crossrefs

Cf. A318545.

Formula

Empirical: a(n) = a(n-1) +14*a(n-3) +7*a(n-4) +33*a(n-5) -6*a(n-6) +20*a(n-7) -48*a(n-8) -4*a(n-9) -32*a(n-10) +30*a(n-12) +14*a(n-13) -8*a(n-14) -10*a(n-15) +9*a(n-16) -3*a(n-17) -13*a(n-18) +9*a(n-19) +7*a(n-20) -5*a(n-21) -a(n-22) +a(n-23) for n>24.