A179112 - OEIS

%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