A203330 T(n,k)=Number of nXk 0..2 arrays with the row and column sums nondecreasing

3, 6, 6, 10, 32, 10, 15, 133, 133, 15, 21, 510, 1510, 510, 21, 28, 1792, 15300, 15300, 1792, 28, 36, 6050, 143690, 423595, 143690, 6050, 36, 45, 19641, 1274165, 10809576, 10809576, 1274165, 19641, 45, 55, 62471, 10806894, 261192161, 759320283

Offset

1,1

Comments

Table starts

..3......6........10...........15............21............28............36

..6.....32.......133..........510..........1792..........6050.........19641

.10....133......1510........15300........143690.......1274165......10806894

.15....510.....15300.......423595......10809576.....261192161....6027116491

.21...1792....143690.....10809576.....759320283...50493863772.3215213994114

.28...6050...1274165....261192161...50493863772.9306918766618

.36..19641..10806894...6027116491.3215213994114

.45..62471..88697732.134485617080

.55.194925.709273098

.66.601743

Links

R. H. Hardin, Table of n, a(n) for n = 1..71

Example

Some solutions for n=5 k=3
..2..0..2....0..1..2....0..0..2....1..1..1....2..0..0....2..0..1....0..0..0
..1..1..2....0..2..1....1..2..0....1..0..2....0..1..2....0..2..2....0..1..2
..0..2..2....2..2..2....1..2..0....1..2..2....1..0..2....1..1..2....1..0..2
..0..2..2....2..2..2....2..0..2....1..2..2....2..2..0....2..1..2....2..0..1
..0..2..2....2..2..2....2..2..2....1..2..2....0..2..2....1..2..2....0..2..1

Crossrefs

Column 1 is A000217(n+1)

Sequence in context: A184137 A135610 A157018 * A197442 A113497 A210692

Adjacent sequences: A203327 A203328 A203329 * A203331 A203332 A203333

Keyword

nonn,tabl

Author

R. H. Hardin Dec 31 2011

Status

approved