A224123 - OEIS

%I #4 Mar 31 2013 05:24:19

%S 4,16,10,50,150,20,130,1747,1080,35,296,16782,47059,6627,56,610,

%T 140210,1703178,1070499,36552,84,1163,1050460,53355889,145901795,

%U 21632718,187000,120,2083,7227405,1491827492,17292618579,11066001160,400993828

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

%C Table starts

%C ...4......16.........50..........130...........296...........610

%C ..10.....150.......1747........16782........140210.......1050460

%C ..20....1080......47059......1703178......53355889....1491827492

%C ..35....6627....1070499....145901795...17292618579.1830213565657

%C ..56...36552...21632718..11066001160.4964366292229

%C ..84..187000..400993828.766386005577

%C .120..905440.6962188526

%C .165.4206453

%C .220

%H R. H. Hardin, <a href="/A224123/b224123.txt">Table of n, a(n) for n = 1..49</a>

%e Some solutions for n=3 k=4

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

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

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

%Y Column 1 is A000292(n+1)

%Y Column 2 is A223069

%Y Row 1 is A223659

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Mar 31 2013