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A234683
Number of (n+1) X (1+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5 (constant-stress 1 X 1 tilings).
1
232, 1148, 5472, 27344, 131200, 661952, 3196416, 16276736, 79071232, 406166528, 1984192512, 10274852864, 50451742720, 263191642112, 1298305253376, 6818128265216, 33772142067712, 178415166291968, 886967057252352
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 72*a(n-2) - 1712*a(n-4) + 13440*a(n-6).
Empirical g.f.: 4*x*(58 + 287*x - 2808*x^2 - 13828*x^3 + 33600*x^4 + 164640*x^5) / ((1 - 20*x^2)*(1 - 24*x^2)*(1 - 28*x^2)). - Colin Barker, Oct 16 2018
EXAMPLE
Some solutions for n=5:
0 6 1 3 4 1 4 0 6 0 1 5 1 5 0 0 5 3 0 2
1 2 4 1 4 6 5 6 1 0 5 4 6 5 0 5 1 4 5 2
0 6 3 5 6 3 4 0 0 4 6 0 6 0 0 0 2 0 3 5
5 6 4 1 4 6 3 4 5 4 5 4 4 3 1 6 3 6 3 0
0 6 0 2 6 3 6 2 2 6 1 5 1 5 5 5 2 0 3 5
5 6 6 3 0 2 3 4 6 5 1 0 4 3 0 5 2 5 6 3
CROSSREFS
Column 1 of A234690.
Sequence in context: A200870 A357573 A234690 * A366816 A238919 A327831
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 29 2013
STATUS
approved