A283568 Number of nX4 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element.

2, 72, 674, 6812, 60802, 528436, 4441052, 36589848, 296555892, 2373574616, 18804085974, 147722885964, 1152326125736, 8934988081564, 68923216977218, 529275667161388, 4048382091614590, 30857555674174468, 234469910144650842

Offset: 1

Author

R. H. Hardin, Mar 11 2017

Keywords

• nonn

Comments

Column 4 of A283572.

Examples

			Some solutions for n=4
..0..1..0..0. .1..0..0..1. .1..0..0..0. .0..0..0..1. .1..0..0..1
..0..0..0..1. .0..0..0..0. .0..0..1..0. .1..0..0..1. .0..0..0..0
..0..1..0..1. .1..1..0..0. .1..1..0..0. .1..1..0..1. .0..0..1..1
..0..0..1..0. .0..1..0..0. .1..0..0..1. .0..0..0..0. .1..0..1..0
		

Links

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

Crossrefs

Cf. A283572.

Formula

Empirical: a(n) = 12*a(n-1) -16*a(n-2) -148*a(n-3) +122*a(n-4) +8*a(n-5) -1218*a(n-6) +1236*a(n-7) +1851*a(n-8) -3776*a(n-9) +3314*a(n-10) +5408*a(n-11) -7569*a(n-12) -2532*a(n-13) +2620*a(n-14) +320*a(n-15) -256*a(n-16)