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Number of n X 3 0..3 arrays avoiding the pattern z-1 z-1 z in any row, column, nw-to-se diagonal or ne-to-sw antidiagonal.
1

%I #7 Nov 16 2021 21:28:44

%S 61,3721,180294,8688551,417476451,20061347530,964232197214,

%T 46342878010975,2227208361171493,107037437137291874,

%U 5144073029981454466,247217125357454922329,11880914300903502206370,570980378586885004101078

%N Number of n X 3 0..3 arrays avoiding the pattern z-1 z-1 z in any row, column, nw-to-se diagonal or ne-to-sw antidiagonal.

%C Column 3 of A206974.

%H R. H. Hardin, <a href="/A206969/b206969.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

%e ..1..0..2....0..1..1....2..2..1....1..3..3....0..1..0....2..0..3....2..1..2

%e ..3..2..1....3..3..0....0..0..3....1..1..3....3..2..2....0..2..0....3..0..1

%e ..1..0..3....3..1..1....0..0..2....0..1..0....1..2..1....3..1..1....2..0..0

%e ..3..0..1....3..2..1....2..2..0....0..1..0....1..0..2....2..0..2....1..3..0

%Y Cf. A206974.

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 14 2012