A235441 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with 2X2 subblock sums lexicographically nondecreasing rowwise and nonincreasing columnwise

81, 450, 450, 2500, 5295, 2500, 11100, 65497, 65497, 11100, 49284, 606279, 1762344, 606279, 49284, 192474, 5672018, 37115629, 37115629, 5672018, 192474, 751689, 42941705, 785712765, 1957598978, 785712765, 42941705, 751689, 2707641

Offset

1,1

Comments

Table starts

.......81.........450..........2500...........11100............49284

......450........5295.........65497..........606279..........5672018

.....2500.......65497.......1762344........37115629........785712765

....11100......606279......37115629......1957598978.....105025440136

....49284.....5672018.....785712765....105025440136...14016254732529

...192474....42941705...13504013024...4689618011086.1644246638168226

...751689...326261718..235332193767.213149442840795

..2707641..2114123393.3433774399772

..9753129.13717203464

.33291180

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Example

Some solutions for n=2 k=4
..2..0..0..0..0....1..1..0..2..0....1..0..0..1..0....0..0..0..0..0
..2..1..2..0..0....1..1..0..0..0....2..2..1..1..1....1..2..0..0..0
..0..2..2..0..1....0..2..2..1..0....1..0..1..1..0....2..1..0..1..0

Crossrefs

Column 1 is A204223

Sequence in context: A253749 A253375 A204230 * A235406 A253742 A204223

Adjacent sequences: A235438 A235439 A235440 * A235442 A235443 A235444

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 10 2014

Status

approved