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Number of lower triangles of a (2n+5)X(2n+5) 0..n array with new values introduced in row major order 0..n and no element unequal to more than one horizontal or vertical neighbor
0

%I #4 Mar 31 2012 12:36:22

%S 79,1101,10121,80961,631373,5029741,41587186,358138793,3210593393,

%T 29914171526,289187454251

%N Number of lower triangles of a (2n+5)X(2n+5) 0..n array with new values introduced in row major order 0..n and no element unequal to more than one horizontal or vertical neighbor

%C Row 7 of A194778

%e Some solutions for n=2 containing a 2

%e ..0..................0..................0..................0

%e ..0.0................1.1................0.0................0.0

%e ..0.0.0..............1.1.1..............1.1.1..............1.1.1

%e ..1.1.1.1............1.1.1.1............1.1.1.2............1.1.1.1

%e ..1.1.1.1.1..........1.1.1.1.0..........1.1.1.2.2..........2.2.2.2.2

%e ..1.1.1.1.1.0........1.1.1.1.0.0........1.1.1.2.2.2........2.2.2.2.2.2

%e ..1.1.1.1.1.0.0......1.1.1.1.0.0.2......1.1.1.2.2.2.2......1.1.1.1.1.1.1

%e ..1.1.1.1.1.0.0.0....1.1.1.1.0.0.2.2....1.1.1.2.2.2.2.1....1.1.1.1.1.1.1.1

%e ..1.1.1.1.1.0.0.0.2..1.1.1.1.0.0.2.2.0..1.1.1.2.2.2.2.1.1..2.2.2.2.2.2.2.2.2

%K nonn

%O 1,1

%A _R. H. Hardin_ Sep 02 2011