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A203448
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Number of (n+1)X5 0..1 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing
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1
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64, 174, 1177, 7481, 46853, 265581, 1371532, 6477799, 28186736, 113797303, 429229381, 1522307251, 5106384889, 16285979144, 49619743791, 145033371213, 408217994491, 1110183398793, 2926141105334, 7495234690866, 18704470939705
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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Empirical: a(n) = 27*a(n-1) -349*a(n-2) +2873*a(n-3) -16900*a(n-4) +75530*a(n-5) -266110*a(n-6) +756470*a(n-7) -1759615*a(n-8) +3371225*a(n-9) -5311735*a(n-10) +6788795*a(n-11) -6760390*a(n-12) +4605980*a(n-13) -742900*a(n-14) -3417340*a(n-15) +6277505*a(n-16) -7016035*a(n-17) +5936645*a(n-18) -4029025*a(n-19) +2236520*a(n-20) -1019590*a(n-21) +379730*a(n-22) -114010*a(n-23) +26975*a(n-24) -4849*a(n-25) +623*a(n-26) -51*a(n-27) +2*a(n-28) for n>37
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EXAMPLE
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Some solutions for n=5
..0..0..0..0..0....0..0..0..0..1....0..0..0..0..1....0..0..0..0..1
..0..0..0..0..1....0..0..0..0..1....0..0..0..1..1....0..0..0..0..1
..0..0..1..1..0....0..0..1..1..1....0..0..1..1..1....0..0..0..1..0
..0..0..1..1..1....0..1..0..0..0....0..1..0..1..0....0..0..0..1..0
..0..1..0..1..0....1..0..1..1..0....0..1..1..0..0....0..1..1..0..0
..0..1..0..1..1....1..1..0..0..1....1..1..1..1..0....0..1..1..0..1
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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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