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%I #4 Dec 19 2013 05:54:45
%S 16488,367857,402000,8226630,23857470,9780884,184027176,1425517650,
%T 1539009351,237966121,4114129859,85374621482,244179417600,99212997474,
%U 5789254059,91973148874,5109216554257,38905863275507,41752512059499
%N T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with no increasing sequence of length 3 horizontally, diagonally downwards or antidiagonally downwards
%C Table starts
%C .....16488......367857........8226630.........184027176..........4114129859
%C ....402000....23857470.....1425517650.......85374621482.......5109216554257
%C ...9780884..1539009351...244179417600....38905863275507....6195468706439527
%C .237966121.99212997474.41752512059499.17672707197951102.7477499627486219639
%H R. H. Hardin, <a href="/A234054/b234054.txt">Table of n, a(n) for n = 1..83</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 11]
%F k=2: [order 39]
%F Empirical for row n:
%F n=1: [linear recurrence of order 32]
%e Some solutions for n=1 k=4
%e ..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
%e ..1..0..2..1..2..1....0..0..0..1..1..1....0..0..1..1..0..2....1..2..0..0..2..0
%e ..2..0..1..1..1..1....1..1..0..0..1..1....0..1..0..1..1..1....1..2..0..0..0..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 19 2013
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