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%I #5 Mar 31 2012 12:37:14
%S 4,16,16,61,256,61,232,3721,3721,232,883,53824,188699,53824,883,3361,
%T 779689,9499613,9499613,779689,3361,12793,11296321,480085367,
%U 1657999936,480085367,11296321,12793,48694,163660849,24271094606,291206601222
%N T(n,k)=Number of nXk 0..3 arrays avoiding the pattern z z+1 z in any row, column or nw-to-se diagonal
%C Table starts
%C .....4.........16.............61.................232.....................883
%C ....16........256...........3721...............53824..................779689
%C ....61.......3721.........188699.............9499613...............480085367
%C ...232......53824........9499613..........1657999936............291206601222
%C ...883.....779689......480085367........291206601222.........178334417556473
%C ..3361...11296321....24271094606......51177439652621......109307204667939468
%C .12793..163660849..1226952447969....8992951964423491....66983278347851911670
%C .48694.2371105636.62023985354889.1580210545765137782.41045386720652187134446
%H R. H. Hardin, <a href="/A206967/b206967.txt">Table of n, a(n) for n = 1..97</a>
%e Some solutions for n=4 k=3
%e ..1..0..0....2..0..1....0..0..3....0..1..1....1..1..0....2..1..2....1..0..2
%e ..0..0..3....0..2..0....0..1..1....3..2..2....3..2..3....3..0..1....3..2..1
%e ..1..2..2....1..2..2....2..1..2....1..2..2....3..0..0....3..0..0....1..0..3
%e ..1..1..3....3..0..0....2..1..2....1..3..2....2..1..3....1..3..0....3..0..1
%Y Column 1 is A206790
%Y Column 2 is A206791
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Feb 14 2012
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