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

%I #4 Mar 31 2013 04:57:51

%S 4,16,16,50,256,50,130,3060,3060,130,296,29922,141112,29922,296,610,

%T 252912,5286827,5286827,252912,610,1163,1912914,169786856,762031090,

%U 169786856,1912914,1163,2083,13254601,4837645361,93991412090,93991412090

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

%C Table starts

%C ....4........16............50..............130...............296

%C ...16.......256..........3060............29922............252912

%C ...50......3060........141112..........5286827.........169786856

%C ..130.....29922.......5286827........762031090.......93991412090

%C ..296....252912.....169786856......93991412090....44633436796823

%C ..610...1912914....4837645361...10255460738958.18747100782890395

%C .1163..13254601..125243425246.1013220280453733

%C .2083..85563043.2997702534361

%C .3544.521069404

%C .5776

%H R. H. Hardin, <a href="/A224113/b224113.txt">Table of n, a(n) for n = 1..59</a>

%e Some solutions for n=3 k=4

%e ..2..0..0..2....0..2..3..0....2..2..0..0....2..0..3..2....2..0..3..0

%e ..2..2..1..0....0..0..3..2....2..0..2..0....2..2..3..0....0..2..2..2

%e ..3..1..2..0....3..3..3..0....0..3..0..2....0..3..1..2....3..3..2..3

%Y Column 1 is A223659

%Y Column 2 is A223660

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Mar 31 2013