A235406 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with 2X2 subblock sums lexicographically nondecreasing columnwise and rowwise

81, 450, 450, 2500, 5916, 2500, 11100, 87902, 87902, 11100, 49284, 924132, 4133417, 924132, 49284, 192474, 9730723, 129700247, 129700247, 9730723, 192474, 751689, 80383489, 4053275322, 12449201480, 4053275322, 80383489, 751689, 2707641

Offset

1,1

Comments

Table starts

.....81......450........2500..........11100.............49284............192474

....450.....5916.......87902.........924132...........9730723..........80383489

...2500....87902.....4133417......129700247........4053275322.......93483052039

..11100...924132...129700247....12449201480.....1195654062204....83013014302681

..49284..9730723..4053275322..1195654062204...355919250720186.75777857615647618

.192474.80383489.93483052039.83013014302681.75777857615647618

Links

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

Example

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

Crossrefs

Column 1 is A204223

Sequence in context: A253375 A204230 A235441 * A253742 A204223 A205215

Adjacent sequences: A235403 A235404 A235405 * A235407 A235408 A235409

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 10 2014

Status

approved