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A234264
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Number of (n+1) X (6+1) 0..2 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant-stress 1 X 1 tilings).
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1
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1336, 1690, 2324, 3616, 6076, 11140, 21164, 42076, 84556, 174700, 361484, 766156, 1619596, 3513100, 7574924, 16818316, 36974476, 84005260, 188124044, 436672396, 994194316, 2351102860, 5427635084, 13031887756, 30417011596, 73894388620
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OFFSET
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1,1
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LINKS
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FORMULA
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Empirical: a(n) = 3*a(n-1) + 6*a(n-2) - 24*a(n-3) + 4*a(n-4) + 36*a(n-5) - 24*a(n-6).
Empirical g.f.: 2*x*(668 - 1159*x - 5381*x^2 + 9284*x^3 + 8250*x^4 - 13932*x^5) / ((1 - x)*(1 - 2*x)*(1 - 2*x^2)*(1 - 6*x^2)). - Colin Barker, Oct 14 2018
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EXAMPLE
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Some solutions for n=5:
2 0 0 0 2 2 2 0 0 0 2 0 0 0 1 1 1 1 2 0 1
2 2 0 2 2 0 2 0 2 0 0 0 2 0 0 2 0 2 1 1 0
2 0 0 0 2 2 2 2 2 2 0 2 2 2 1 1 1 1 2 0 1
2 2 0 2 2 0 2 0 2 0 0 0 2 0 0 2 0 2 1 1 0
2 0 0 0 2 2 2 2 2 2 0 2 2 2 1 1 1 1 2 0 1
0 0 2 0 0 2 0 0 2 0 0 0 2 0 0 2 0 2 1 1 0
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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