A204643 Number of (n+1)X(n+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) nondecreasing in column and row directions, respectively

8, 32, 104, 330, 1076, 3702, 13314, 49312, 185786, 706912, 2706218, 10403402, 40120324, 155122378, 601086622, 2333614100, 9075145134, 35345275932, 137846543630, 538257892350, 2104098985192, 8233430753142, 32247603713264

Offset

1,1

Comments

Diagonal of A204651

Links

R. H. Hardin, Table of n, a(n) for n = 1..63

Example

Some solutions for n=5
..0..0..0..0..0..1....0..0..0..0..1..1....0..0..0..0..0..1....0..0..0..0..0..0
..0..0..1..1..1..1....0..0..0..0..1..1....0..0..0..0..1..1....0..0..0..0..0..0
..0..0..1..1..1..1....0..0..0..1..1..1....0..0..0..0..1..1....0..0..0..0..1..1
..0..1..1..1..1..1....0..0..1..1..1..1....0..0..0..0..1..1....0..0..0..0..1..1
..1..1..1..1..1..1....0..1..1..1..1..1....0..0..0..1..1..1....0..1..1..1..1..1
..1..1..1..1..1..1....1..1..1..1..1..1....1..1..1..1..1..1....1..1..1..1..1..1

Crossrefs

Sequence in context: A357285 A100312 A302507 * A036393 A003201 A318944

Adjacent sequences: A204640 A204641 A204642 * A204644 A204645 A204646

Keyword

nonn

Author

R. H. Hardin Jan 17 2012

Status

approved