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 A233374 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays x(i,j) with row sums sum{x(i,j), j=1..k+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing 7
 28, 98, 117, 286, 1046, 444, 729, 7595, 10496, 1588, 1678, 46935, 202692, 100400, 5387, 3555, 254725, 3297833, 5346837, 905636, 17645, 7048, 1242042, 46482312, 241678714, 133229754, 7828287, 56425, 13215, 5538026, 579835701, 9480398444 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts .....28.......98........286.........729.......1678.........3555.......7048 ....117.....1046.......7595.......46935.....254725......1242042....5538026 ....444....10496.....202692.....3297833...46482312....579835701.6509469538 ...1588...100400....5346837...241678714.9480398444.328735086329 ...5387...905636..133229754.16837550455 ..17645..7828287.3183753917 ..56425.65352179 .177289 LINKS R. H. Hardin, Table of n, a(n) for n = 1..40 EXAMPLE Some solutions for n=2 k=4 ..0..0..1..0..1....2..1..1..2..0....0..2..2..0..1....1..2..0..1..1 ..0..1..1..2..2....0..2..0..2..2....0..2..1..2..2....0..0..2..2..1 ..1..2..2..2..2....1..1..2..1..2....1..0..2..2..2....1..1..1..1..2 CROSSREFS Sequence in context: A189808 A130085 A211495 * A231230 A233375 A219691 Adjacent sequences: A233371 A233372 A233373 * A233375 A233376 A233377 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 08 2013 STATUS approved

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Last modified March 26 04:58 EDT 2023. Contains 361529 sequences. (Running on oeis4.)