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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.
1
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
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
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 19 2013
STATUS
approved