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A265447 T(n,k)=Number of nXk 0..n+k-2 arrays with upper left zero and lower right n+k-2 and each element differing from its horizontal and vertical neighbors by one or two. 9
1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 9, 53, 145, 53, 9, 29, 455, 2825, 2825, 455, 29, 79, 2218, 25069, 57721, 25069, 2218, 79, 220, 9702, 174794, 744805, 744805, 174794, 9702, 220, 673, 59956, 2345091, 19827238, 41855199, 19827238, 2345091, 59956, 673, 2106, 444998 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,7

COMMENTS

Table starts

....1.......1..........1..............2.................9...................29

....1.......1..........2.............53...............455.................2218

....1.......2........145...........2825.............25069...............174794

....2......53.......2825..........57721............744805.............19827238

....9.....455......25069.........744805..........41855199...........4188662714

...29....2218.....174794.......19827238........4188662714.........569620472894

...79....9702....2345091......901139380......268477963202.......48022286879776

..220...59956...44474575....27582975041....11139856018641.....3649109954684315

..673..444998..628376593...585047767454...436718915555930...499643230059285544

.2106.2915881.6864539181.12075039660966.28503014136448930.82686619913586153336

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..161

EXAMPLE

Some solutions for n=4 k=4

..0..1..2..4....0..1..2..4....0..1..2..4....0..1..3..4....0..2..3..4

..1..3..4..6....2..3..4..6....2..3..4..6....2..3..1..3....1..3..5..6

..3..5..3..5....3..4..6..4....4..5..3..5....4..5..3..4....3..4..3..5

..1..3..4..6....4..3..4..6....3..4..5..6....5..3..4..6....4..3..4..6

CROSSREFS

Sequence in context: A339163 A058787 A085056 * A156538 A249768 A217503

Adjacent sequences:  A265444 A265445 A265446 * A265448 A265449 A265450

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 09 2015

STATUS

approved

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Last modified November 30 05:12 EST 2021. Contains 349419 sequences. (Running on oeis4.)