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

Author

R. H. Hardin, Feb 20 2016

Keywords

• nonn

Comments

Column 4 of A269186.

Examples

			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
		

Links

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

Crossrefs

Cf. A269186.

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