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%I #5 Nov 30 2013 09:03:04
%S 29,112,112,350,1169,350,938,9819,9819,938,2245,65492,242252,65492,
%T 2245,4897,373614,4641048,4641048,373614,4897,9932,1844746,74536295,
%U 270627569,74536295,1844746,9932,19033,8112547,1009610447,13242432197,13242432197
%N T(n,k)=Number of (n+1)X(k+1) 0..2 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 ....29......112.........350..........938..........2245.........4897........9932
%C ...112.....1169........9819........65492........373614......1844746.....8112547
%C ...350.....9819......242252......4641048......74536295...1009610447.11868407907
%C ...938....65492.....4641048....270627569...13242432197.532532064179
%C ..2245...373614....74536295..13242432197.2004915624292
%C ..4897..1844746..1009610447.532532064179
%C ..9932..8112547.11868407907
%C .19033.32677547
%C .34678
%H R. H. Hardin, <a href="/A232787/b232787.txt">Table of n, a(n) for n = 1..48</a>
%e Some solutions for n=2 k=4
%e ..2..1..1..0..2....0..0..0..2..0....0..0..0..0..1....2..1..1..0..2
%e ..0..1..2..1..2....1..2..1..2..1....0..0..1..1..1....2..1..1..2..2
%e ..0..0..0..2..2....0..0..1..1..2....0..1..1..1..1....0..2..2..2..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Nov 30 2013
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