A224123 T(n,k)=Number of nXk 0..3 arrays with row sums nondecreasing and column sums unimodal.

4, 16, 10, 50, 150, 20, 130, 1747, 1080, 35, 296, 16782, 47059, 6627, 56, 610, 140210, 1703178, 1070499, 36552, 84, 1163, 1050460, 53355889, 145901795, 21632718, 187000, 120, 2083, 7227405, 1491827492, 17292618579, 11066001160, 400993828

Offset: 1

Author

R. H. Hardin Mar 31 2013

Keywords

• nonn
• tabl

Comments

Table starts

...4......16.........50..........130...........296...........610

..10.....150.......1747........16782........140210.......1050460

..20....1080......47059......1703178......53355889....1491827492

..35....6627....1070499....145901795...17292618579.1830213565657

..56...36552...21632718..11066001160.4964366292229

..84..187000..400993828.766386005577

.120..905440.6962188526

.165.4206453

.220

Examples

			Some solutions for n=3 k=4
..0..2..2..0....2..0..0..1....2..2..0..0....0..2..3..0....0..0..2..1
..2..2..2..1....2..2..2..0....2..3..1..0....2..0..3..0....0..0..0..3
..2..3..1..3....0..2..2..3....0..2..2..3....0..3..2..0....0..1..3..3
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..49

Crossrefs

Column 1 is A000292(n+1)

Column 2 is A223069

Row 1 is A223659