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%I #4 Dec 09 2015 09:04:31
%S 1,1,1,1,1,1,2,2,2,2,9,53,145,53,9,29,455,2825,2825,455,29,79,2218,
%T 25069,57721,25069,2218,79,220,9702,174794,744805,744805,174794,9702,
%U 220,673,59956,2345091,19827238,41855199,19827238,2345091,59956,673,2106,444998
%N 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.
%C Table starts
%C ....1.......1..........1..............2.................9...................29
%C ....1.......1..........2.............53...............455.................2218
%C ....1.......2........145...........2825.............25069...............174794
%C ....2......53.......2825..........57721............744805.............19827238
%C ....9.....455......25069.........744805..........41855199...........4188662714
%C ...29....2218.....174794.......19827238........4188662714.........569620472894
%C ...79....9702....2345091......901139380......268477963202.......48022286879776
%C ..220...59956...44474575....27582975041....11139856018641.....3649109954684315
%C ..673..444998..628376593...585047767454...436718915555930...499643230059285544
%C .2106.2915881.6864539181.12075039660966.28503014136448930.82686619913586153336
%H R. H. Hardin, <a href="/A265447/b265447.txt">Table of n, a(n) for n = 1..161</a>
%e Some solutions for n=4 k=4
%e ..0..1..2..4....0..1..2..4....0..1..2..4....0..1..3..4....0..2..3..4
%e ..1..3..4..6....2..3..4..6....2..3..4..6....2..3..1..3....1..3..5..6
%e ..3..5..3..5....3..4..6..4....4..5..3..5....4..5..3..4....3..4..3..5
%e ..1..3..4..6....4..3..4..6....3..4..5..6....5..3..4..6....4..3..4..6
%K nonn,tabl
%O 1,7
%A _R. H. Hardin_, Dec 09 2015
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