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A234674
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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 (constant-stress 1 X 1 tilings).
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1
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112, 404, 1264, 4568, 14368, 52016, 164416, 596192, 1892992, 6874304, 21915904, 79691648, 254990848, 928299776, 2979890176, 10859597312, 34958682112, 127515167744, 411504185344, 1502182012928, 4858050224128, 17746184155136
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OFFSET
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1,1
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..210
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FORMULA
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Empirical: a(n) = 22*a(n-2) - 120*a(n-4).
Empirical g.f.: 4*x*(28 + 101*x - 300*x^2 - 1080*x^3) / ((1 - 10*x^2)*(1 - 12*x^2)). - Colin Barker, Oct 16 2018
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EXAMPLE
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Some solutions for n=5:
0 3 4 0 0 5 4 5 3 0 5 4 3 2 0 3 2 4 5 3
4 2 1 2 0 0 5 1 0 2 1 5 0 4 2 0 4 1 2 5
0 3 5 1 5 0 4 5 3 0 4 3 2 1 1 4 1 3 3 1
4 2 3 4 5 5 4 0 0 2 1 5 0 4 3 1 4 1 1 4
1 4 5 1 0 5 4 5 4 1 3 2 4 3 1 4 3 5 3 1
2 0 2 3 3 3 5 1 1 3 0 4 1 5 4 2 3 0 2 5
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CROSSREFS
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Column 1 of A234681.
Sequence in context: A235312 A203916 A234681 * A217992 A221798 A340574
Adjacent sequences: A234671 A234672 A234673 * A234675 A234676 A234677
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Dec 29 2013
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STATUS
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approved
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