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%I #5 Mar 31 2012 12:36:49
%S 4,10,10,20,90,20,35,616,616,35,56,3731,15688,3731,56,84,20208,343827,
%T 343827,20208,84,120,102665,6776376,27871870,6776376,102665,120,165,
%U 492118,123282439,2028764764,2028764764,123282439,492118,165,220,2275947
%N T(n,k)=Number of nXk 0..3 arrays with the row and column sums nondecreasing
%C Table starts
%C ...4.......10..........20............35..............56..............84
%C ..10.......90.........616..........3731...........20208..........102665
%C ..20......616.......15688........343827.........6776376.......123282439
%C ..35.....3731......343827......27871870......2028764764....136314892664
%C ..56....20208.....6776376....2028764764....550113111784.137822089847470
%C ..84...102665...123282439..136314892664.137822089847470
%C .120...492118..2108296388.8588877039627
%C .165..2275947.34358272840
%C .220.10175908
%C .286
%H R. H. Hardin, <a href="/A202581/b202581.txt">Table of n, a(n) for n = 1..59</a>
%e Some solutions for n=3 k=3
%e ..0..0..0....0..1..1....1..2..3....1..1..2....1..2..2....0..0..1....0..1..3
%e ..2..2..2....3..2..1....1..3..2....1..2..3....0..2..3....0..1..3....0..3..2
%e ..3..3..3....1..2..3....3..2..2....2..2..2....3..1..3....1..2..2....3..2..1
%Y Column 1 is A000292(n+1)
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Dec 21 2011
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