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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) 2
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 (list; table; graph; refs; listen; history; text; internal format)
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: A074962 A064863 A021358 * A224196 A141449 A065485

Adjacent sequences:  A203019 A203020 A203021 * A203023 A203024 A203025

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Dec 27 2011

STATUS

approved

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Last modified May 26 07:30 EDT 2017. Contains 287093 sequences.