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A203896
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T(n,k)=Number of (n+1)X(k+1) 0..4 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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9
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205, 1940, 1940, 16842, 72423, 16842, 131432, 2634939, 2634939, 131432, 940270, 77658673, 499486878, 77658673, 940270, 6287755, 1905833494, 74956749750, 74956749750, 1905833494, 6287755, 39889619, 40229386532, 9042090593477
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OFFSET
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1,1
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COMMENTS
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Table starts
.......205...........1940...............16842.................131432
......1940..........72423.............2634939...............77658673
.....16842........2634939...........499486878............74956749750
....131432.......77658673.........74956749750.........58500223468696
....940270.....1905833494.......9042090593477......36337203300044690
...6287755....40229386532.....909510089895106...18604524788467098072
..39889619...749063366121...78614554935810312.8110443447372955603425
.242721211.12535141537226.5968834286653520880
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LINKS
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EXAMPLE
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Some solutions for n=4 k=3
..3..4..3..3....2..1..2..3....3..1..0..4....3..3..2..2....0..3..4..0
..4..3..4..4....2..3..3..4....1..3..4..3....3..3..4..4....3..1..0..4
..3..4..4..4....1..4..4..3....3..4..3..1....2..4..4..4....1..3..4..4
..4..4..2..4....1..4..4..3....4..3..4..3....2..4..4..4....2..3..2..2
..4..4..2..4....3..3..1..4....4..4..3..0....2..4..4..4....2..3..4..0
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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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