A230270 Number of n X 3 0..2 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero.

0, 2, 28, 258, 2318, 19996, 173042, 1495602, 12923884, 111679970, 965051522, 8339221132, 72061022634, 622694890854, 5380841364452, 46497015154242, 401790774458110, 3471961070277860, 30001967293824306, 259253494870328354

Offset

1,2

Comments

Column 3 of A230275.

Links

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

Formula

Empirical: a(n) = 11*a(n-1) -18*a(n-2) -22*a(n-3) -6*a(n-4) +162*a(n-5) -29*a(n-6) -105*a(n-7) -62*a(n-8) -22*a(n-9) -4*a(n-10).

Example

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

Crossrefs

Cf. A230275.

Sequence in context: A183067 A056261 A326248 * A230759 A229581 A230589

Adjacent sequences: A230267 A230268 A230269 * A230271 A230272 A230273

Keyword

nonn

Author

R. H. Hardin, Oct 14 2013

Status

approved