A204331 Number of (n+1)X(n+1) 0..7 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

1212, 947240, 1641649698, 4891607353910, 20044731040262804

Offset

1,1

Comments

Diagonal of A204339

Links

Table of n, a(n) for n=1..5.

Example

Some solutions for n=4
..0..0..4..0..2....2..7..2..7..5....5..4..6..3..5....4..3..1..1..6
..1..3..1..5..7....7..2..7..5..7....3..6..4..7..5....2..5..7..7..7
..6..4..6..5..7....2..7..5..7..6....5..4..6..5..7....0..7..7..7..7
..3..7..5..6..6....4..5..7..6..7....2..7..5..6..6....7..7..7..7..7
..5..5..7..6..6....2..7..6..7..6....7..5..7..6..6....7..7..7..7..7

Crossrefs

Sequence in context: A203657 A250159 A184464 * A105311 A252125 A251815

Adjacent sequences: A204328 A204329 A204330 * A204332 A204333 A204334

Keyword

nonn

Author

R. H. Hardin Jan 14 2012

Status

approved