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

1,1

Comments

Column 4 of A283572.

Links

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

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)

Example

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

Crossrefs

Cf. A283572.

Sequence in context: A187707 A163274 A030993 * A070775 A157061 A179957

Adjacent sequences: A283565 A283566 A283567 * A283569 A283570 A283571

Keyword

nonn

Author

R. H. Hardin, Mar 11 2017

Status

approved