A283277 Number of nX3 0..1 arrays with no 1 equal to more than two of its horizontal, vertical and antidiagonal neighbors.

8, 50, 287, 1725, 10299, 61491, 367208, 2192810, 13094522, 78194882, 466946550, 2788405644, 16651169555, 99433684945, 593775569480, 3545774525272, 21173853607285, 126441225573015, 755053086743011, 4508855092288477

Offset

1,1

Comments

Column 3 of A283282.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) +5*a(n-2) +6*a(n-3) -7*a(n-4) -a(n-5) -4*a(n-6) +11*a(n-7) -12*a(n-8) +7*a(n-9) -9*a(n-10) +6*a(n-11) -2*a(n-12)

Example

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

Crossrefs

Cf. A283282.

Sequence in context: A030279 A133357 A081675 * A081180 A052177 A127745

Adjacent sequences: A283274 A283275 A283276 * A283278 A283279 A283280

Keyword

nonn

Author

R. H. Hardin, Mar 04 2017

Status

approved