A282311 Number of nX3 0..1 arrays with no 1 equal to more than four of its king-move neighbors.

8, 63, 419, 2968, 21055, 148793, 1052672, 7447859, 52689903, 372763688, 2637186103, 18657216265, 131993683472, 933812070731, 6606414049379, 46738212662072, 330657526383363, 2339293553069185, 16549734672364196

Offset

1,1

Comments

Column 3 of A282316.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) +11*a(n-2) +31*a(n-3) -24*a(n-4) -65*a(n-5) -108*a(n-6) +21*a(n-7) +88*a(n-8) +86*a(n-9) +12*a(n-10)

Example

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

Crossrefs

Cf. A282316.

Sequence in context: A371402 A178392 A307434 * A085433 A171313 A370038

Adjacent sequences: A282308 A282309 A282310 * A282312 A282313 A282314

Keyword

nonn

Author

R. H. Hardin, Feb 11 2017

Status

approved