A269147 Number of nX3 0..3 arrays with some element plus some horizontally, antidiagonally or vertically adjacent neighbor totalling three exactly once.

24, 768, 13904, 220968, 3277728, 46576336, 642676704, 8680278136, 115349343264, 1513379596864, 19651887694240, 253030595298696, 3234828051983328, 41105657832397744, 519625334069189984, 6539008095907322520

Offset

1,1

Comments

Column 3 of A269152.

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

Crossrefs

Cf. A269152.

Sequence in context: A283873 A359480 A361661 * A269209 A270252 A275635

Adjacent sequences: A269144 A269145 A269146 * A269148 A269149 A269150

Keyword

nonn

Author

R. H. Hardin, Feb 20 2016

Status

approved