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

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

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