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A224113 T(n,k)=Number of nXk 0..3 arrays with row sums and column sums unimodal.

%I A224113 #6 Jul 23 2025 04:59:48
%S A224113 4,16,16,50,256,50,130,3060,3060,130,296,29922,141112,29922,296,610,
%T A224113 252912,5286827,5286827,252912,610,1163,1912914,169786856,762031090,
%U A224113 169786856,1912914,1163,2083,13254601,4837645361,93991412090,93991412090
%N A224113 T(n,k)=Number of nXk 0..3 arrays with row sums and column sums unimodal.
%C A224113 Table starts
%C A224113 ....4........16............50..............130...............296
%C A224113 ...16.......256..........3060............29922............252912
%C A224113 ...50......3060........141112..........5286827.........169786856
%C A224113 ..130.....29922.......5286827........762031090.......93991412090
%C A224113 ..296....252912.....169786856......93991412090....44633436796823
%C A224113 ..610...1912914....4837645361...10255460738958.18747100782890395
%C A224113 .1163..13254601..125243425246.1013220280453733
%C A224113 .2083..85563043.2997702534361
%C A224113 .3544.521069404
%C A224113 .5776
%H A224113 R. H. Hardin, <a href="/A224113/b224113.txt">Table of n, a(n) for n = 1..59</a>
%e A224113 Some solutions for n=3 k=4
%e A224113 ..2..0..0..2....0..2..3..0....2..2..0..0....2..0..3..2....2..0..3..0
%e A224113 ..2..2..1..0....0..0..3..2....2..0..2..0....2..2..3..0....0..2..2..2
%e A224113 ..3..1..2..0....3..3..3..0....0..3..0..2....0..3..1..2....3..3..2..3
%Y A224113 Column 1 is A223659
%Y A224113 Column 2 is A223660
%K A224113 nonn,tabl
%O A224113 1,1
%A A224113 _R. H. Hardin_ Mar 31 2013