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A203452 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing 8
8, 16, 16, 32, 34, 32, 64, 80, 80, 64, 128, 174, 321, 174, 128, 256, 376, 1177, 1177, 376, 256, 512, 786, 4200, 7481, 4200, 786, 512, 1024, 1624, 13777, 46853, 46853, 13777, 1624, 1024, 2048, 3310, 42112, 265581, 554620, 265581, 42112, 3310, 2048, 4096 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....8...16.....32......64.......128.........256...........512............1024

...16...34.....80.....174.......376.........786..........1624............3310

...32...80....321....1177......4200.......13777.........42112..........120522

...64..174...1177....7481.....46853......265581.......1371532.........6477799

..128..376...4200...46853....554620.....5972476......58336803.......513856445

..256..786..13777..265581...5972476...125140148....2396938985.....41222650083

..512.1624..42112.1371532..58336803..2396938985...91479447926...3140066953229

.1024.3310.120522.6477799.513856445.41222650083.3140066953229.216607480473481

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..220

EXAMPLE

Some solutions for n=7 k=3

..0..1..0..1....0..0..0..1....0..0..1..1....0..0..1..1....0..0..0..0

..1..0..1..1....0..0..0..1....0..1..0..1....0..1..0..1....0..0..0..1

..0..1..1..0....0..0..1..0....1..0..1..0....1..0..1..0....0..0..1..1

..0..1..1..0....0..1..0..1....1..0..1..1....1..0..1..0....0..1..0..0

..0..1..1..0....1..0..1..1....1..0..1..1....0..1..1..0....1..0..1..0

..1..1..0..0....0..1..1..0....0..1..1..0....1..1..0..1....1..0..1..0

..1..1..0..0....1..1..0..0....1..1..0..0....1..1..1..1....1..0..1..1

..1..1..1..1....1..1..1..0....1..1..0..1....1..1..1..1....0..1..1..0

CROSSREFS

Sequence in context: A242890 A224550 A204651 * A319317 A091251 A297264

Adjacent sequences:  A203449 A203450 A203451 * A203453 A203454 A203455

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 02 2012

STATUS

approved

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Last modified September 16 23:53 EDT 2021. Contains 347477 sequences. (Running on oeis4.)