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A203741
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T(n,k)=Number of (n+1)X(k+1) 0..3 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) nondecreasing in column and row directions, respectively
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9
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90, 499, 499, 2166, 3912, 2166, 8667, 23442, 23442, 8667, 31942, 114276, 178836, 114276, 31942, 111916, 488745, 1091807, 1091807, 488745, 111916, 376415, 1868452, 5538127, 7927078, 5538127, 1868452, 376415, 1228141, 6571172, 24571387
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OFFSET
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1,1
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COMMENTS
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Table starts
......90......499......2166.......8667.......31942.......111916........376415
.....499.....3912.....23442.....114276......488745......1868452.......6571172
....2166....23442....178836....1091807.....5538127.....24571387......97540896
....8667...114276...1091807....7927078....47229554....240425612....1082255416
...31942...488745...5538127...47229554...325435792...1908258519....9804436984
..111916..1868452..24571387..240425612..1908258519..12852015708...75830205850
..376415..6571172..97540896.1082255416..9804436984..75830205850..513715285322
.1228141.21530128.354255616.4391206320.45182796559.399483991424.3103520015542
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..312
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EXAMPLE
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Some solutions for n=4 k=3
..2..1..2..1....1..1..1..0....3..3..3..3....1..0..0..1....1..0..2..1
..1..3..2..3....2..2..2..3....3..3..3..3....1..2..2..2....0..1..1..2
..3..2..3..2....2..2..2..3....3..3..3..3....2..3..3..3....2..1..1..3
..2..3..2..3....1..3..3..3....3..3..3..3....3..3..3..3....1..2..2..2
..3..2..3..2....1..3..3..3....3..3..3..3....3..3..3..3....0..3..3..3
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CROSSREFS
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Sequence in context: A237129 A250870 A284845 * A203734 A066116 A233638
Adjacent sequences: A203738 A203739 A203740 * A203742 A203743 A203744
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin Jan 05 2012
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STATUS
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approved
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