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T(n,k)=Number of nXk 0..2 arrays with row sums and column sums unimodal
3

%I #4 Mar 28 2013 16:40:00

%S 3,9,9,22,81,22,46,564,564,46,86,3298,11264,3298,86,148,17048,187103,

%T 187103,17048,148,239,80412,2719602,8878492,2719602,80412,239,367,

%U 353485,35688774,367772497,367772497,35688774,353485,367,541,1469903,432076735

%N T(n,k)=Number of nXk 0..2 arrays with row sums and column sums unimodal

%C Table starts

%C ...3.......9.........22...........46............86...........148

%C ...9......81........564.........3298.........17048.........80412

%C ..22.....564......11264.......187103.......2719602......35688774

%C ..46....3298.....187103......8878492.....367772497...13710418065

%C ..86...17048....2719602....367772497...43541049634.4638776041518

%C .148...80412...35688774..13710418065.4638776041518

%C .239..353485..432076735.469842794992

%C .367.1469903.4902528769

%C .541.5845411

%C .771

%H R. H. Hardin, <a href="/A223892/b223892.txt">Table of n, a(n) for n = 1..60</a>

%e Some solutions for n=3 k=4

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

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

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

%Y Column 1 is A223718

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Mar 28 2013