A282555 Number of nX3 0..1 arrays with no 1 equal to more than two of its king-move neighbors, with the exception of exactly one element.

0, 10, 89, 618, 4167, 26278, 160698, 961128, 5646223, 32728582, 187665494, 1066534616, 6016524469, 33727550278, 188052863995, 1043617792094, 5767952401833, 31763527625488, 174355772236351, 954313092199506

Offset

1,2

Comments

Column 3 of A282560.

Links

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

Formula

Empirical: a(n) = 10*a(n-1) -21*a(n-2) -22*a(n-3) -42*a(n-4) +270*a(n-5) -35*a(n-6) -104*a(n-7) -518*a(n-8) +572*a(n-9) -197*a(n-10) -84*a(n-11) +340*a(n-12) -156*a(n-13) -4*a(n-14) +24*a(n-15) -36*a(n-16)

Example

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

Crossrefs

Cf. A282560.

Sequence in context: A302149 A269008 A000826 * A120923 A057081 A024132

Adjacent sequences: A282552 A282553 A282554 * A282556 A282557 A282558

Keyword

nonn

Author

R. H. Hardin, Feb 18 2017

Status

approved