A238907 Number of (n+1) X (2+1) 0..2 arrays with no element equal to all horizontal neighbors or equal to all vertical neighbors, and new values 0..2 introduced in row major order.

9, 41, 486, 4287, 41165, 385632, 3638773, 34262775, 322817734, 3040984385, 28647966717, 269877546432, 2542386946921, 23950576862273, 225626690048980, 2125518640310461, 20023471678068295, 188631332893572912

Offset

1,1

Comments

Column 2 of A238912.

Links

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

Formula

Empirical: a(n) = 6*a(n-1) +32*a(n-2) +8*a(n-3) -51*a(n-4) -43*a(n-5) -5*a(n-6) +37*a(n-7) -5*a(n-8) -2*a(n-9) +4*a(n-10).

Example

Some solutions for n=5
..0..1..0....0..1..2....0..1..0....0..1..2....0..1..2....0..1..0....0..1..2
..2..0..2....2..0..1....2..0..1....1..2..1....1..0..1....1..0..1....1..0..1
..2..0..2....1..2..0....0..1..0....2..1..0....1..2..0....0..2..0....1..2..1
..0..2..0....1..0..2....2..0..2....1..2..0....0..1..2....2..0..2....2..0..2
..0..2..1....0..2..1....1..2..1....2..0..1....0..1..2....1..2..0....1..0..2
..2..0..2....1..0..2....0..1..0....0..1..0....2..0..1....2..0..1....0..2..1

Crossrefs

Cf. A238912.

Sequence in context: A177259 A247884 A301803 * A235642 A050635 A065792

Adjacent sequences: A238904 A238905 A238906 * A238908 A238909 A238910

Keyword

nonn

Author

R. H. Hardin, Mar 07 2014

Status

approved