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 A233055 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays x(i,j) with row sums sum{j*x(i,j), j=1..k+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing 5
 84, 517, 567, 2504, 12943, 3133, 10259, 230008, 263629, 14845, 36681, 3388003, 17810392, 4493649, 63271, 117336, 42636091, 1003305932, 1158868388, 67014557, 247417, 342631, 469323351, 48050514719, 252737269997, 65031861708, 897520231 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts .....84.......517........2504........10259.......36681....117336.....342631 ....567.....12943......230008......3388003....42636091.469323351.4607489801 ...3133....263629....17810392...1003305932.48050514719 ..14845...4493649..1158868388.252737269997 ..63271..67014557.65031861708 .247417.897520231 .902423 LINKS R. H. Hardin, Table of n, a(n) for n = 1..30 EXAMPLE Some solutions for n=2 k=4 ..1..1..3..2..0....0..1..1..3..1....0..0..3..2..1....1..1..0..1..0 ..0..0..2..1..3....0..0..3..1..2....0..0..2..2..3....0..0..0..0..3 ..1..2..1..2..3....0..0..1..3..3....1..2..1..2..3....0..0..3..3..2 CROSSREFS Sequence in context: A251254 A064198 A329935 * A233056 A211260 A233053 Adjacent sequences:  A233052 A233053 A233054 * A233056 A233057 A233058 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 03 2013 STATUS approved

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Last modified May 14 03:00 EDT 2021. Contains 343872 sequences. (Running on oeis4.)