A282523 Number of n X 3 0..1 arrays with no 1 equal to more than two of its king-move neighbors.

8, 43, 206, 1097, 5675, 29433, 153037, 794716, 4128244, 21444844, 111394775, 578646848, 3005807582, 15613798271, 81106596833, 421311892656, 2188523765507, 11368386235590, 59053598944793, 306756604030647, 1593461123288541

Offset

1,1

Comments

Column 3 of A282528.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) +2*a(n-2) -a(n-3) -24*a(n-4) +13*a(n-5) -2*a(n-7) +6*a(n-8).

Conjectured g.f.: -x*(8+3*x-25*x^2-11*x^3+13*x^4-2*x^5+4*x^6+6*x^7)/(-1+5*x+2*x^2-x^3-24*x^4+13*x^5-2*x^7+6*x^8). - R. J. Mathar, Feb 28 2017

Example

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

Crossrefs

Cf. A282528.

Sequence in context: A122880 A171479 A227209 * A099253 A239033 A034361

Adjacent sequences: A282520 A282521 A282522 * A282524 A282525 A282526

Keyword

nonn

Author

R. H. Hardin, Feb 17 2017

Status

approved