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 A232877 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays x(i,j) with row sums sum{j^2*x(i,j), j=1..k+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing 7
 7, 14, 14, 25, 45, 25, 39, 130, 130, 39, 57, 311, 650, 311, 57, 81, 637, 2715, 2715, 637, 81, 112, 1235, 8988, 21639, 8988, 1235, 112, 151, 2314, 26553, 133532, 133532, 26553, 2314, 151, 195, 4200, 74515, 706994, 1604460, 706994, 74515, 4200, 195, 247, 7228 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ...7....14......25........39.........57..........81..........112.........151 ..14....45.....130.......311........637........1235.........2314........4200 ..25...130.....650......2715.......8988.......26553........74515......202293 ..39...311....2715.....21639.....133532......706994......3457755....16257008 ..57...637....8988....133532....1604460....16272765....146502363..1233883972 ..81..1235...26553....706994...16272765...330663907...5853344894.94722968640 .112..2314...74515...3457755..146502363..5853344894.206695177162 .151..4200..202293..16257008.1233883972.94722968640 .195..7228..523052..72992744.9794613332 .247.11846.1268666.309583532 LINKS R. H. Hardin, Table of n, a(n) for n = 1..96 EXAMPLE Some solutions for n=4 k=4 ..1..1..0..0..0....0..0..1..1..0....0..1..0..0..0....1..1..1..0..0 ..0..0..1..0..0....1..0..0..0..1....1..0..1..0..0....0..0..0..0..1 ..0..1..1..0..0....1..0..1..0..1....1..0..0..1..0....0..0..0..0..1 ..0..0..0..1..1....0..1..1..0..1....0..1..0..0..1....0..0..0..0..1 ..0..0..1..1..1....0..0..0..1..1....0..0..1..1..1....0..0..0..1..1 CROSSREFS Sequence in context: A040042 A233366 A232831 * A232860 A232797 A107976 Adjacent sequences:  A232874 A232875 A232876 * A232878 A232879 A232880 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 01 2013 STATUS approved

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