A269190 Number of nX4 0..3 arrays with some element plus some horizontally, diagonally, antidiagonally or vertically adjacent neighbor totalling three no more than once.

216, 4476, 115452, 2817548, 67134380, 1567933676, 36068275268, 819789099172, 18452018423420, 411983259384452, 9136178140885388, 201433537180523700, 4419013543755451812, 96521322466937887324, 2100165198065619059932

Offset

1,1

Comments

Column 4 of A269194.

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..0..3..1. .3..3..3..3. .3..3..1..3. .0..0..0..0. .0..1..0..2
..1..1..1..1. .3..1..3..1. .1..3..1..0. .1..0..0..0. .2..0..0..2
..1..0..1..0. .1..3..1..3. .1..3..1..1. .2..0..1..1. .2..2..2..0

Crossrefs

Cf. A269194.

Sequence in context: A183785 A282019 A017343 * A017463 A183617 A114060

Adjacent sequences: A269187 A269188 A269189 * A269191 A269192 A269193

Keyword

nonn

Author

R. H. Hardin, Feb 20 2016

Status

approved