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Number of 5Xn 0..3 arrays avoiding the pattern z-2 z-1 z in any row, column, nw-to-se diagonal or ne-to-sw antidiagonal
1

%I #5 Mar 31 2012 12:37:13

%S 936,876096,594138770,413843625776,289315497297232,202239575474145573,

%T 141405314141528391344,98873946045190495775955,

%U 69135467925548799599684158,48341867791501329150634897274

%N Number of 5Xn 0..3 arrays avoiding the pattern z-2 z-1 z in any row, column, nw-to-se diagonal or ne-to-sw antidiagonal

%C Row 5 of A206838

%H R. H. Hardin, <a href="/A206843/b206843.txt">Table of n, a(n) for n = 1..81</a>

%e Some solutions for n=5

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 13 2012