A232778 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays x(i,j) with row sums sum{j*x(i,j), j=1..k+1} nondecreasing, and column sums sum{i*x(i,j), i=1..n+1} nondecreasing

30, 118, 118, 387, 1176, 387, 1175, 9607, 9607, 1175, 3294, 71172, 216153, 71172, 3294, 8679, 474271, 4315199, 4315199, 474271, 8679, 21991, 2888324, 77206290, 237056318, 77206290, 2888324, 21991, 53823, 16411386, 1254183756, 11711791561

Offset

1,1

Comments

Table starts

....30......118........387........1175........3294.......8679.......21991

...118.....1176.......9607.......71172......474271....2888324....16411386

...387.....9607.....216153.....4315199....77206290.1254183756.18751034097

..1175....71172....4315199...237056318.11711791561

..3294...474271...77206290.11711791561

..8679..2888324.1254183756

.21991.16411386

.53823

Links

R. H. Hardin, Table of n, a(n) for n = 1..39

Example

Some solutions for n=2 k=4
..0..2..2..1..0....0..1..0..1..2....1..0..1..2..1....2..1..0..0..0
..0..1..1..1..2....2..2..1..0..2....1..0..1..1..2....0..1..0..2..2
..1..0..1..2..2....0..0..1..2..2....1..2..2..2..2....0..1..2..1..2

Crossrefs

Sequence in context: A304836 A010018 A256649 * A232775 A246766 A112955

Adjacent sequences: A232775 A232776 A232777 * A232779 A232780 A232781

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 30 2013

Status

approved