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T(n,k)=Number of nXk 0..2 arrays with each sum of a(1..i,1..j) no greater than i*j
6

%I #5 Mar 31 2012 12:35:51

%S 2,5,5,13,34,13,35,249,249,35,96,1920,5257,1920,96,267,15232,118128,

%T 118128,15232,267,750,123323,2748326,7798591,2748326,123323,750,2123,

%U 1012996,65521060,535504390,535504390,65521060,1012996,2123,6046,8413325

%N T(n,k)=Number of nXk 0..2 arrays with each sum of a(1..i,1..j) no greater than i*j

%C Table starts

%C .....2.........5.............13..................35....................96

%C .....5........34............249................1920.................15232

%C ....13.......249...........5257..............118128...............2748326

%C ....35......1920.........118128.............7798591.............535504390

%C ....96.....15232........2748326...........535504390..........108917015732

%C ...267....123323.......65521060.........37791169786........22819790947743

%C ...750...1012996.....1589310971.......2719090433234......4882354760830113

%C ..2123...8413325....39061152272.....198527626261156...1061262556019472565

%C ..6046..70482133...969912553822...14661270464301970.233540084105702534983

%C .17303.594587235.24282796177101.1092691428398410348

%H R. H. Hardin, <a href="/A183419/b183419.txt">Table of n, a(n) for n = 1..97</a>

%e Some solutions for 5X4

%e ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0

%e ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0

%e ..0..0..1..1....0..0..2..1....0..0..2..0....0..1..0..0....0..0..1..1

%e ..1..1..0..2....0..0..2..1....0..0..1..0....1..1..1..1....0..2..2..2

%e ..2..1..2..0....2..1..0..0....0..2..1..0....0..2..2..0....1..2..2..1

%Y Column 1 is A005773(n+1)

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 04 2011