A232756 - OEIS

%I #4 Nov 29 2013 13:54:20

%S 86,561,561,2799,14229,2799,11642,268376,268376,11642,42136,3995189,

%T 21120269,3995189,42136,135738,49913678,1275396109,1275396109,

%U 49913678,135738,398282,534194881,63029738888,318928128419,63029738888,534194881

%N 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

%C Table starts

%C ......86........561..........2799..........11642..........42136........135738

%C .....561......14229........268376........3995189.......49913678.....534194881

%C ....2799.....268376......21120269.....1275396109....63029738888.2626194720041

%C ...11642....3995189....1275396109...318928128419.64508132038992

%C ...42136...49913678...63029738888.64508132038992

%C ..135738..534194881.2626194720041

%C ..398282.5028662366

%C .1080962

%H R. H. Hardin, <a href="/A232756/b232756.txt">Table of n, a(n) for n = 1..38</a>

%e Some solutions for n=2 k=4

%e ..2..0..1..0..2....0..0..1..1..1....0..0..0..2..0....3..0..0..0..0

%e ..0..0..1..2..3....0..0..1..1..3....2..0..0..3..1....0..0..1..0..2

%e ..0..2..3..3..3....0..1..1..1..3....1..2..2..2..3....0..1..1..2..3

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Nov 29 2013