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A232756
T(n,k)=Number of (n+1)X(k+1) 0..3 arrays x(i,j) with row sums sum{j^3*x(i,j), j=1..k+1} nondecreasing, and column sums sum{i^3*x(i,j), i=1..n+1} nondecreasing
3
86, 561, 561, 2799, 14229, 2799, 11642, 268376, 268376, 11642, 42136, 3995189, 21120269, 3995189, 42136, 135738, 49913678, 1275396109, 1275396109, 49913678, 135738, 398282, 534194881, 63029738888, 318928128419, 63029738888, 534194881
OFFSET
1,1
COMMENTS
Table starts
......86........561..........2799..........11642..........42136........135738
.....561......14229........268376........3995189.......49913678.....534194881
....2799.....268376......21120269.....1275396109....63029738888.2626194720041
...11642....3995189....1275396109...318928128419.64508132038992
...42136...49913678...63029738888.64508132038992
..135738..534194881.2626194720041
..398282.5028662366
.1080962
LINKS
EXAMPLE
Some solutions for n=2 k=4
..2..0..1..0..2....0..0..1..1..1....0..0..0..2..0....3..0..0..0..0
..0..0..1..2..3....0..0..1..1..3....2..0..0..3..1....0..0..1..0..2
..0..2..3..3..3....0..1..1..1..3....1..2..2..2..3....0..1..1..2..3
CROSSREFS
Sequence in context: A344679 A231266 A202769 * A232763 A232754 A232760
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 29 2013
STATUS
approved