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A235179
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Number of (n+1) X (1+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).
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1
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72, 212, 576, 1696, 4656, 13736, 38064, 112504, 314448, 930968, 2622192, 7775032, 22048848, 65462648, 186741360, 555058840, 1591397328, 4734719768, 13632852720, 40593168760, 117299196240, 349504739000, 1012931275632, 3019805931352
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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) = 16*a(n-2) - 65*a(n-4) + 14*a(n-6).
Empirical g.f.: 4*x*(18 + 53*x - 144*x^2 - 424*x^3 + 30*x^4 + 95*x^5) / ((1 - 7*x^2)*(1 - 9*x^2 + 2*x^4)). - Colin Barker, Oct 17 2018
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EXAMPLE
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Some solutions for n=4:
2 3 2 4 0 4 2 1 1 3 3 0 3 1 5 2 2 4 3 1
5 1 5 2 2 1 1 5 3 0 2 4 0 3 2 4 3 0 2 5
3 4 1 3 1 5 2 1 0 2 4 1 3 1 5 2 2 4 3 1
5 1 5 2 4 3 1 5 4 1 1 3 0 3 1 3 4 1 1 4
1 2 2 4 1 5 3 2 3 5 4 1 2 0 3 0 3 5 2 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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