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A203330 T(n,k)=Number of nXk 0..2 arrays with the row and column sums nondecreasing 8
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified April 10 11:15 EDT 2021. Contains 342845 sequences. (Running on oeis4.)