A269138 Number of nX3 0..3 arrays with some element plus some horizontally, antidiagonally or vertically adjacent neighbor totalling three no more than once.

60, 1164, 18556, 275796, 3924212, 54199284, 732561916, 9740150372, 127846717716, 1660741102212, 21389485726684, 273519303765844, 3476418550368820, 43954347343683220, 553215363420258236, 6935081471870462788

Offset

1,1

Comments

Column 3 of A269143.

Links

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

Formula

Empirical: a(n) = 26*a(n-1) -199*a(n-2) +408*a(n-3) -463*a(n-4) +322*a(n-5) -141*a(n-6) +36*a(n-7) -4*a(n-8) for n>9

Example

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

Crossrefs

Cf. A269143.

Sequence in context: A056346 A283722 A105252 * A146347 A289156 A288960

Adjacent sequences: A269135 A269136 A269137 * A269139 A269140 A269141

Keyword

nonn

Author

R. H. Hardin, Feb 20 2016

Status

approved