A269182 Number of nX4 0..3 arrays with some element plus some horizontally, diagonally, antidiagonally or vertically adjacent neighbor totalling three exactly once.

108, 2736, 80112, 2097552, 52394312, 1265974992, 29881402560, 693021071760, 15854541802056, 358760880894864, 8045649521280080, 179088561311942528, 3961164069598726264, 87139967884594089296, 1907940856141713336608

Offset

1,1

Comments

Column 4 of A269186.

Links

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

Formula

Empirical: a(n) = 46*a(n-1) -607*a(n-2) +1264*a(n-3) +11029*a(n-4) -27640*a(n-5) -86627*a(n-6) +153412*a(n-7) +308464*a(n-8) -329306*a(n-9) -438615*a(n-10) +260680*a(n-11) +134834*a(n-12) -65824*a(n-13) -9889*a(n-14) +5080*a(n-15) -400*a(n-16) for n>17

Example

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

Crossrefs

Cf. A269186.

Sequence in context: A264681 A221018 A338381 * A244877 A223153 A203028

Adjacent sequences: A269179 A269180 A269181 * A269183 A269184 A269185

Keyword

nonn

Author

R. H. Hardin, Feb 20 2016

Status

approved