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Number of lower triangles of an n X n 0..4 array with new values introduced in row major order 0..4 and no element equal to more than one horizontal or vertical neighbor
0

%I #5 Dec 18 2015 18:17:44

%S 1,4,131,43785,79201795,627974590650,21399815343394998,

%T 3132305932642809585983,1969210116072259125767299138

%N Number of lower triangles of an n X n 0..4 array with new values introduced in row major order 0..4 and no element equal to more than one horizontal or vertical neighbor

%C Column 4 of A194540

%e Some solutions for 3X3

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

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

%e ..2.0.1..2.2.1..0.1.0..0.2.1..2.3.4..3.2.0..0.2.3..1.0.0..2.1.2..0.3.1..1.0.1

%K nonn

%O 1,2

%A _R. H. Hardin_ Aug 28 2011