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%I #6 Mar 31 2012 12:35:45
%S 2,4,4,6,18,6,9,64,64,9,12,193,629,193,12,16,501,5191,5191,501,16,20,
%T 1180,35084,127771,35084,1180,20,25,2529,201142,2563468,2563468,
%U 201142,2529,25,30,5080,1001345,42356325,157360559,42356325,1001345,5080,30,36
%N T(n,k)=Number of nXk 0..2 arrays with each sum of a(1..i,1..j) no greater than i*j and rows and columns in nondecreasing lexicographic order
%C Table starts
%C ..2.....4........6...........9.............12..............16..............20
%C ..4....18.......64.........193............501............1180............2529
%C ..6....64......629........5191..........35084..........201142.........1001345
%C ..9...193.....5191......127771........2563468........42356325.......590679221
%C .12...501....35084.....2563468......157360559......7926791154....333098446431
%C .16..1180...201142....42356325.....7926791154...1231063084249.158993797153025
%C .20..2529..1001345...590679221...333098446431.158993797153025
%C .25..5080..4446018..7140764807.11973522235788
%C .30..9593.17889927.76331242612
%C .36.17298.66227888
%H R. H. Hardin, <a href="/A179112/b179112.txt">Table of n, a(n) for n = 1..83</a>
%Y Column 1 is A002620(n+2)
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Jan 04 2011
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