A269273 Number of n X 5 0..3 arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling three exactly once.

432, 127512, 23549400, 3719884392, 542973139128, 75556007986536, 10181956012212600, 1340897428986116904, 173553231095580128184, 22161410569440812760552, 2799318884872209986120184

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.: 72*x*(6 + 367*x - 1677*x^2 + 1302*x^3) / (1 - 117*x + 294*x^2)^2. - Colin Barker, Jan 21 2019

Example

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

Crossrefs

Column 5 of A269276.

Sequence in context: A113921 A269211 A269094 * A300053 A047804 A008691

Adjacent sequences: A269270 A269271 A269272 * A269274 A269275 A269276

Keyword

nonn

Author

R. H. Hardin, Feb 21 2016

Status

approved