A209013 Number of n X 2 0..3 arrays with no element equal the average of immediate neighbors vertically above, diagonally above and left, and horizontally left of it.

12, 130, 1430, 15724, 172936, 1901964, 20918008, 230058424, 2530206824, 27827480224, 306049553920, 3365965156848, 37019238613696, 407141477256160, 4477784761704800, 49247147465796160, 541625304181537792

Offset

1,1

Comments

Column 2 of A209019.

Links

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

Formula

Empirical: a(n) = 8*a(n-1) + 38*a(n-2) - 52*a(n-3) - 40*a(n-4) + 44*a(n-5) - 12*a(n-6).

Empirical g.f.: 2*x*(6 + 17*x - 33*x^2 - 16*x^3 + 22*x^4 - 2*x^5) / (1 - 8*x - 38*x^2 + 52*x^3 + 40*x^4 - 44*x^5 + 12*x^6). - Colin Barker, Jul 07 2018

Example

Some solutions for n=4:
  1 0   3 0   1 2   0 1   0 2   1 0   2 3   3 1   0 2   1 3
  2 3   0 2   2 3   3 0   2 1   2 3   1 0   1 1   1 2   0 1
  3 1   1 0   3 3   1 1   1 0   1 3   0 3   3 3   3 1   1 0
  1 0   3 2   2 0   2 0   2 2   3 1   1 0   0 1   0 0   2 0

Crossrefs

Cf. A209019.

Sequence in context: A360878 A163414 A111777 * A341588 A240798 A160962

Adjacent sequences: A209010 A209011 A209012 * A209014 A209015 A209016

Keyword

nonn

Author

R. H. Hardin, Mar 04 2012

Status

approved