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%I #4 Dec 07 2013 22:17:20
%S 80,464,556,2164,11562,3362,8538,190529,256099,18445,29595,2607957,
%T 15632055,5139176,94060,92282,30702571,792134993,1176261450,95102518,
%U 454538,263644,318690200,34363298528,225502088136,81564498707,1651408189
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays x(i,j) with row sums sum{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 ......80........464........2164.........8538.......29595.........92282
%C .....556......11562......190529......2607957....30702571.....318690200
%C ....3362.....256099....15632055....792134993.34363298528.1305785141000
%C ...18445....5139176..1176261450.225502088136
%C ...94060...95102518.81564498707
%C ..454538.1651408189
%C .2109213
%H R. H. Hardin, <a href="/A233353/b233353.txt">Table of n, a(n) for n = 1..31</a>
%e Some solutions for n=2 k=4
%e ..2..0..0..0..2....0..0..0..0..3....2..0..0..2..0....2..0..0..2..3
%e ..2..1..1..2..2....2..1..2..0..2....0..0..3..2..3....2..0..0..2..3
%e ..1..2..2..2..3....0..1..1..3..3....1..2..1..2..3....1..3..3..2..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 07 2013
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