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A234481
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T(n,k) is the number of (n+1) X (k+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1 (constant-stress 1 X 1 tilings).
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6
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672, 7840, 7840, 95872, 141728, 95872, 1200640, 2765648, 2765648, 1200640, 15217152, 56172656, 87871120, 56172656, 15217152, 194145280, 1165600828, 2941603932, 2941603932, 1165600828, 194145280, 2484815872, 24484032192
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OFFSET
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1,1
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COMMENTS
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Table starts
672 7840 95872 1200640 15217152
7840 141728 2765648 56172656 1165600828
95872 2765648 87871120 2941603932 101383587816
1200640 56172656 2941603932 163999261180 9478559277180
15217152 1165600828 101383587816 9478559277180 924511268818064
194145280 24484032192 3555453917560 560119617963572 92612141125166316
2484815872 517788509004 125966139330824 33549726037031472
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LINKS
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FORMULA
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Empirical for column k:
k=1: a(n) = 224*a(n-2) -10304*a(n-4) +96256*a(n-6) -80640*a(n-8).
k=2: [order 46].
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EXAMPLE
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Some solutions for n=2, k=4:
0 4 6 0 1 4 4 6 2 2 4 4 6 7 4 4 4 6 1 3
0 5 6 1 3 0 1 4 1 0 0 1 4 6 4 4 5 6 2 5
0 6 6 2 5 0 0 4 0 0 0 2 4 7 6 2 4 4 1 5
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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