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Number of lower triangles of an n X n 0..2 array with new values introduced in row major order 0..2 and no element equal to more than two horizontal or vertical neighbors
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%I #5 Dec 18 2015 18:17:44

%S 1,5,113,7696,1429748,723276072,996233663484,3736289882783364,

%T 38153100681294466800,1060791108320009447746940,

%U 80304497397124644777045379184,16552355212984292716901267397576440

%N Number of lower triangles of an n X n 0..2 array with new values introduced in row major order 0..2 and no element equal to more than two horizontal or vertical neighbors

%C Column 2 of A194576

%e Some solutions for 3X3

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

%e ..1.1....1.2....1.0....0.1....1.2....0.0....0.1....1.1....1.2....1.1....1.0

%e ..1.0.2..2.2.0..0.0.2..2.1.0..1.1.2..1.0.0..1.0.1..0.0.1..0.1.0..2.0.2..2.2.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Aug 29 2011