A269181 Number of nX3 0..3 arrays with some element plus some horizontally, diagonally, antidiagonally or vertically adjacent neighbor totalling three exactly once.

24, 384, 5888, 80112, 1031344, 12791896, 154606864, 1833130768, 21416076480, 247279304248, 2828051682752, 32088228414160, 361662427633424, 4053056289550296, 45198059875209904, 501865175240768976

Offset

1,1

Comments

Column 3 of A269186.

Links

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

Formula

Empirical: a(n) = 22*a(n-1) -131*a(n-2) +88*a(n-3) +221*a(n-4) -154*a(n-5) -101*a(n-6) +44*a(n-7) -4*a(n-8) for n>9

Example

Some solutions for n=4
..1..2..0. .0..0..0. .3..1..2. .1..1..0. .1..0..1. .3..0..1. .3..1..2
..0..0..2. .2..0..2. .3..3..3. .3..3..1. .0..1..0. .1..1..0. .1..3..3
..2..0..0. .2..2..2. .1..1..1. .2..3..1. .1..0..2. .1..1..1. .3..3..2
..2..2..2. .3..0..2. .1..1..0. .3..3..1. .1..0..0. .1..0..0. .2..2..3

Crossrefs

Cf. A269186.

Sequence in context: A228406 A087292 A081138 * A266185 A114631 A020782

Adjacent sequences: A269178 A269179 A269180 * A269182 A269183 A269184

Keyword

nonn

Author

R. H. Hardin, Feb 20 2016

Status

approved