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A234326
Number of (n+1) X (1+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1 (constant-stress 1 X 1 tilings).
1
80, 432, 2368, 13056, 71936, 397056, 2188288, 12079104, 66572288, 367472640, 2025275392, 11179327488, 61613342720, 340099792896, 1874413748224, 10346585653248, 57023799492608, 314765950844928, 1734789723848704
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 32*a(n-2) - 48*a(n-4).
Empirical g.f.: 16*x*(5 + 27*x - 12*x^2 - 48*x^3) / (1 - 32*x^2 + 48*x^4). - Colin Barker, Oct 14 2018
EXAMPLE
Some solutions for n=5:
1 3 3 3 0 1 3 3 1 1 3 2 1 3 1 1 0 1 0 1
2 3 0 1 1 1 1 0 2 1 0 0 0 3 1 2 2 2 0 0
0 0 0 0 1 2 2 2 2 2 3 2 1 3 3 3 2 1 1 0
0 1 2 1 0 0 1 0 1 2 2 2 1 2 1 2 0 0 3 3
0 2 1 1 0 1 2 0 1 3 3 2 0 0 0 0 2 3 2 3
0 3 1 2 2 2 1 0 1 2 0 0 1 0 3 2 2 2 0 2
CROSSREFS
Column 1 of A234333.
Sequence in context: A045657 A273292 A234333 * A085774 A233353 A233354
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 23 2013
STATUS
approved