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

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

R. H. Hardin, Table of n, a(n) for n = 1..38

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

Adjacent sequences: A232753 A232754 A232755 * A232757 A232758 A232759

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 29 2013

Status

approved