A269286 Number of n X 5 0..3 arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling three no more than once.

756, 164556, 27788292, 4204943820, 598478857956, 81907569617580, 10908770041709316, 1424067311317705740, 183070424003703987492, 23250470194285817181804, 2923940806264087088770116

Offset

1,1

Links

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

Formula

Empirical: a(n) = 234*a(n-1) - 14277*a(n-2) + 68796*a(n-3) - 86436*a(n-4).

Empirical g.f.: 252*x*(3 - 49*x + 300*x^2 - 636*x^3) / (1 - 117*x + 294*x^2)^2. - Colin Barker, Jan 21 2019

Example

Some solutions for n=2:
..0..3..3..1..0. .2..2..0..0..1. .3..1..0..3..2. .0..1..0..1..2
..2..2..0..1..3. .1..0..2..3..2. .3..1..3..2..3. .1..1..1..3..3

Crossrefs

Column 5 of A269289.

Sequence in context: A269198 A269106 A035853 * A289570 A269934 A269898

Adjacent sequences: A269283 A269284 A269285 * A269287 A269288 A269289

Keyword

nonn

Author

R. H. Hardin, Feb 21 2016

Status

approved