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A207208 T(n,k)=Number of nXk 0..2 arrays avoiding the pattern z-1 z-1 z in any row, column, nw-to-se diagonal or ne-to-sw antidiagonal 12

%I

%S 3,9,9,25,81,25,69,625,625,69,190,4761,11047,4761,190,523,36100,

%T 192640,193260,36100,523,1440,273529,3375548,7766709,3345883,273529,

%U 1440,3965,2073600,59151458,317286068,309262926,58023139,2073600,3965,10918

%N T(n,k)=Number of nXk 0..2 arrays avoiding the pattern z-1 z-1 z in any row, column, nw-to-se diagonal or ne-to-sw antidiagonal

%C Table starts

%C ....3........9..........25.............69...............190

%C ....9.......81.........625...........4761.............36100

%C ...25......625.......11047.........192640...........3375548

%C ...69.....4761......193260........7766709.........317286068

%C ..190....36100.....3345883......309262926.......29420037104

%C ..523...273529....58023139....12412097426.....2765632587041

%C .1440..2073600..1009600274...500670359576...261868042220093

%C .3965.15721225.17573182050.20211739475415.24816867454624858

%H R. H. Hardin, <a href="/A207208/b207208.txt">Table of n, a(n) for n = 1..97</a>

%e Some solutions for n=5 k=3

%e ..0..0..2....2..2..2....2..0..1....0..0..2....2..0..1....2..0..2....2..1..0

%e ..1..0..1....1..1..0....0..0..0....0..0..0....2..0..2....2..2..0....2..1..2

%e ..2..0..2....2..2..0....2..2..1....2..2..0....1..0..2....0..2..1....2..1..1

%e ..0..2..2....1..0..2....2..0..0....1..2..2....1..2..1....2..0..1....0..1..1

%e ..2..0..2....2..0..2....2..0..0....0..0..2....0..2..1....2..0..0....0..0..0

%Y Column 1 is A206727

%Y Column 2 is A206728

%Y Row 1 is A206727

%Y Row 2 is A206728

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Feb 15 2012

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Last modified May 28 18:24 EDT 2022. Contains 354122 sequences. (Running on oeis4.)