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%I #9 Mar 24 2023 09:52:21
%S 3,9,9,26,81,26,75,676,676,75,216,5625,14974,5625,216,622,46656,
%T 327518,327899,46656,622,1791,386884,7169168,18584111,7104784,386884,
%U 1791,5157,3207681,156957792,1058580304,1033847229,153718531,3207681,5157,14849
%N T(n,k) = Number of n X k 0..2 arrays avoiding the pattern z-2 z-1 z in any row, column, nw-to-se diagonal or ne-to-sw antidiagonal.
%C Table starts
%C ....3........9..........26..............75................216
%C ....9.......81.........676............5625..............46656
%C ...26......676.......14974..........327518............7169168
%C ...75.....5625......327899........18584111.........1058580304
%C ..216....46656.....7104784......1033847229.......151596413811
%C ..622...386884...153718531.....57282563287.....21553876840265
%C .1791..3207681..3323115736...3168082336959...3054158366460488
%C .5157.26594649.71828785449.175129179194410.432330439527473859
%H R. H. Hardin, <a href="/A207550/b207550.txt">Table of n, a(n) for n = 1..127</a>
%e Some solutions for n=4, k=3
%e ..2..2..1....0..0..0....2..0..2....1..0..1....2..1..2....1..2..2....2..0..1
%e ..2..0..0....2..0..2....1..1..1....2..0..2....1..2..1....0..0..1....0..0..2
%e ..2..0..0....2..0..1....1..0..0....0..2..2....0..2..1....1..2..0....1..1..2
%e ..2..2..2....0..0..0....1..2..2....2..0..2....1..1..2....1..2..1....0..0..1
%Y Column 1 is A076264.
%Y Column 2 is A206694.
%Y Row 1 is A076264.
%Y Row 2 is A206694.
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 18 2012
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