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A234551
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Number of (n+1) X (2+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings).
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1
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2716, 22458, 184816, 1527660, 12632704, 104793676, 870061872, 7247511972, 60427123392, 505598378732, 4234359329552, 35597000634596, 299528022187872, 2530562921714700, 21397823598521904, 181712718030164164
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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) = 25*a(n-1) +171*a(n-2) -8947*a(n-3) +20442*a(n-4) +1276046*a(n-5) -7721142*a(n-6) -89665378*a(n-7) +835291375*a(n-8) +2916848953*a(n-9) -45270570765*a(n-10) -12096348459*a(n-11) +1332333947744*a(n-12) -1813960758728*a(n-13) -21440506572936*a(n-14) +48154351857440*a(n-15) +200413362270168*a(n-16) -574094316035800*a(n-17) -1131202886847072*a(n-18) +3914657325465440*a(n-19) +3861853479350272*a(n-20) -16494937667180864*a(n-21) -7509328290739200*a(n-22) +44239728068980992*a(n-23) +6116716146439680*a(n-24) -75931240737844224*a(n-25) +4864198828197888*a(n-26) +81940531841003520*a(n-27) -16357767821991936*a(n-28) -52834812420096000*a(n-29) +15489875939328000*a(n-30) +18143005999104000*a(n-31) -6490659697459200*a(n-32) -2459495301120000*a(n-33) +983798120448000*a(n-34).
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EXAMPLE
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Some solutions for n=3:
2 3 1 0 5 1 0 5 2 0 1 6 3 3 6 4 4 2 3 6 0
1 5 6 3 5 4 2 4 4 0 4 6 6 3 3 4 1 2 0 6 3
3 4 2 2 1 3 2 1 4 3 4 3 4 4 1 4 4 2 3 6 6
4 2 3 5 1 0 0 2 2 1 5 1 4 1 1 5 2 3 0 0 3
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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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