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%I #4 Dec 03 2013 18:50:21
%S 84,517,567,2504,12943,3133,10259,230008,263629,14845,36681,3388003,
%T 17810392,4493649,63271,117336,42636091,1003305932,1158868388,
%U 67014557,247417,342631,469323351,48050514719,252737269997,65031861708,897520231
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays x(i,j) with row sums sum{j*x(i,j), j=1..k+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing
%C Table starts
%C .....84.......517........2504........10259.......36681....117336.....342631
%C ....567.....12943......230008......3388003....42636091.469323351.4607489801
%C ...3133....263629....17810392...1003305932.48050514719
%C ..14845...4493649..1158868388.252737269997
%C ..63271..67014557.65031861708
%C .247417.897520231
%C .902423
%H R. H. Hardin, <a href="/A233055/b233055.txt">Table of n, a(n) for n = 1..30</a>
%e Some solutions for n=2 k=4
%e ..1..1..3..2..0....0..1..1..3..1....0..0..3..2..1....1..1..0..1..0
%e ..0..0..2..1..3....0..0..3..1..2....0..0..2..2..3....0..0..0..0..3
%e ..1..2..1..2..3....0..0..1..3..3....1..2..1..2..3....0..0..3..3..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 03 2013
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