A203022 T(n,k)=Number of nXk nonnegative integer arrays with adjacent horizontal and vertical element pair sums equal to all values in 0..2nk-n-k-1 (each exactly once)

0, 1, 1, 2, 8, 2, 4, 36, 36, 4, 12, 544, 3216, 544, 12, 44, 12700, 257664, 257664, 12700, 44, 176, 431432, 69822004, 464458656, 69822004, 431432, 176, 768, 17482140

Offset

1,4

Comments

Table starts

...0......1........2.........4.......12.....44......176.768

...1......8.......36.......544....12700.431432.17482140

...2.....36.....3216....257664.69822004

...4....544...257664.464458656

..12..12700.69822004

..44.431432

.176

Links

Table of n, a(n) for n=1..30.

Example

Some solutions for n=3 k=3
..4..5..6....0..3..1....0..2..7....7..3..6....1..5..6....1..0..0....8..2..4
..1..3..4....0..7..4....0..1..4....0..1..5....1..0..4....9..2..6....1..0..0
..0..0..2....1..1..5....4..6..2....0..2..3....8..0..3....0..3..1....4..3..8

Crossrefs

Column 1 is A180205(n-1)

Sequence in context: A064863 A021358 A332353 * A224196 A141449 A065485

Adjacent sequences: A203019 A203020 A203021 * A203023 A203024 A203025

Keyword

nonn,tabl

Author

R. H. Hardin Dec 27 2011

Status

approved