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%I #4 Dec 01 2013 05:44:29
%S 29,112,112,356,1169,356,960,10020,10020,960,2307,69096,250841,69096,
%T 2307,5078,395858,5049004,5049004,395858,5078,10265,1977447,81165760,
%U 308579489,81165760,1977447,10265,19632,8733769,1100553095,14915030019
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays x(i,j) with row sums sum{j^4*x(i,j), j=1..k+1} nondecreasing, and column sums sum{i^4*x(i,j), i=1..n+1} nondecreasing
%C Table starts
%C ....29.......112..........356............960............2307............5078
%C ...112......1169........10020..........69096..........395858.........1977447
%C ...356.....10020.......250841........5049004........81165760......1100553095
%C ...960.....69096......5049004......308579489.....14915030019....598207374258
%C ..2307....395858.....81165760....14915030019...2222069570814.276205144698675
%C ..5078...1977447...1100553095...598207374258.276205144698675
%C .10265...8733769..12972830143.20699496754858
%C .19632..35038672.135388726387
%C .35694.129401308
%C .62317
%H R. H. Hardin, <a href="/A232852/b232852.txt">Table of n, a(n) for n = 1..58</a>
%e Some solutions for n=2 k=4
%e ..2..1..2..2..0....0..1..0..0..0....1..0..0..0..0....0..2..2..0..0
%e ..0..1..2..0..2....2..2..2..2..0....1..2..0..2..2....1..1..2..1..1
%e ..0..0..0..2..2....0..0..1..1..2....0..0..2..2..2....0..0..0..2..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 01 2013
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