A234137 Number of (n+1) X (5+1) 0..3 arrays with every 2 X 2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 9.

1280, 1544, 1992, 2984, 4904, 9512, 19368, 45224, 104360, 271784, 670632, 1861544, 4764584, 13716392, 35808168, 105157544, 277398440, 823206824, 2183234472, 6513902504, 17322673064, 51825116072, 138009772968, 413458301864

Offset

1,1

Links

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

Formula

Empirical: a(n) = 3*a(n-1) + 8*a(n-2) - 30*a(n-3) + 4*a(n-4) + 48*a(n-5) - 32*a(n-6).

Empirical g.f.: 8*x*(160 - 287*x - 1610*x^2 + 2882*x^3 + 2652*x^4 - 4616*x^5) / ((1 - x)*(1 - 2*x)*(1 - 2*x^2)*(1 - 8*x^2)). - Colin Barker, Oct 13 2018

Example

Some solutions for n=5:
  3 3 3 0 0 3    3 0 3 3 3 3    0 3 0 3 0 3    3 0 3 0 3 0
  3 0 3 3 0 0    0 0 0 3 0 3    0 0 0 0 0 0    1 1 1 1 1 1
  3 3 3 0 0 3    0 3 0 0 0 0    0 3 0 3 0 3    0 3 0 3 0 3
  3 0 3 3 0 0    0 0 0 3 0 3    2 2 2 2 2 2    0 0 0 0 0 0
  3 3 3 0 0 3    0 3 0 0 0 0    0 3 0 3 0 3    3 0 3 0 3 0
  3 0 3 3 0 0    0 0 0 3 0 3    1 1 1 1 1 1    3 3 3 3 3 3

Crossrefs

Column 5 of A234140.

Sequence in context: A251890 A251889 A251886 * A160233 A251887 A251894

Adjacent sequences: A234134 A234135 A234136 * A234138 A234139 A234140

Keyword

nonn

Author

R. H. Hardin, Dec 19 2013

Status

approved