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

1,1

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

Links

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

Example

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

Crossrefs

Column 1 is A000292(n+1)

Column 2 is A223069

Row 1 is A223659

Sequence in context: A224173 A223864 A223987 * A273579 A147560 A266973

Adjacent sequences: A224120 A224121 A224122 * A224124 A224125 A224126

Keyword

nonn,tabl

Author

R. H. Hardin Mar 31 2013

Status

approved