A269189 Number of nX3 0..3 arrays with some element plus some horizontally, diagonally, antidiagonally or vertically adjacent neighbor totalling three no more than once.

60, 708, 9284, 115452, 1399612, 16629436, 194596516, 2249848972, 25758552060, 292530733516, 3299601105860, 37002081127036, 412867979588732, 4586651556698652, 50758470773069860, 559808285415404076

Offset

1,1

Comments

Column 3 of A269194.

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

Crossrefs

Cf. A269194.

Sequence in context: A244837 A268624 A088945 * A136008 A000555 A034865

Adjacent sequences: A269186 A269187 A269188 * A269190 A269191 A269192

Keyword

nonn

Author

R. H. Hardin, Feb 20 2016

Status

approved