A233080 Number of n X 6 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally or antidiagonally, top left element zero, and 1 appearing before 2 in row major order.

122, 32414, 8662343, 2315298290, 618844579511, 165407945648306, 44211082661517335, 11816964557611382642, 3158498796072853930295, 844219731401266443119474, 225647372661155279429241623

Offset

1,1

Links

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

Formula

Empirical: a(n) = 283*a(n-1) - 4251*a(n-2) + 13573*a(n-3) - 9604*a(n-4).

Empirical g.f.: x*(122 - 2112*x + 7803*x^2 - 8771*x^3) / ((1 - x)*(1 - 282*x + 3969*x^2 - 9604*x^3)). - Colin Barker, Oct 07 2018

Example

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

Crossrefs

Column 6 of A233082.

Sequence in context: A209098 A233016 A282055 * A280678 A209105 A223131

Adjacent sequences: A233077 A233078 A233079 * A233081 A233082 A233083

Keyword

nonn

Author

R. H. Hardin, Dec 03 2013

Status

approved