A208389 Number of n X 5 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors.

41, 8838, 1937736, 424785708, 93120350760, 20413586117376, 4475009970818208, 980999326809336384, 215051963118734640384, 47143097428659169764096, 10334579619442851721032192, 2265518002338040963538165760

Offset

1,1

Comments

Column 5 of A208392.

Links

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

Formula

Empirical: a(n) = 222*a(n-1) - 612*a(n-2) + 432*a(n-3) for n>4.

Empirical g.f.: x*(41 - 264*x + 792*x^2 - 540*x^3) / (1 - 222*x + 612*x^2 - 432*x^3). - Colin Barker, Jul 02 2018

Example

Some solutions for n=4:
..0..0..0..1..2....0..1..0..1..2....0..0..1..1..1....0..1..0..2..2
..0..1..0..0..2....2..1..0..1..1....1..1..0..1..2....0..0..2..1..0
..1..1..2..0..0....0..0..2..0..0....1..2..0..1..2....1..2..0..2..0
..1..2..2..2..1....0..0..1..1..0....1..2..0..0..1....2..2..2..0..2

Crossrefs

Cf. A208392.

Sequence in context: A198713 A208319 A201171 * A282273 A208396 A240704

Adjacent sequences: A208386 A208387 A208388 * A208390 A208391 A208392

Keyword

nonn

Author

R. H. Hardin, Feb 25 2012

Status

approved