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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
4
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 30 2013
STATUS
approved