A224123 T(n,k) is the number of n X k 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, 905440, 165

Offset

1,1

Links

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

Example

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
Some solutions for n=3 and 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

Columns 1..4 are A000292(n+1), A223069, A224121, A224122.

Rows 1..4 are A223659, A224124, A224125, A224126

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