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A194534 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 one horizontal or vertical neighbor.

%I A194534 #8 Jul 22 2025 12:34:32
%S A194534 1,4,59,1851,119548,16039294,4460214471,2572187445993,
%T A194534 3075932897564028,7627704068111688574,39223874584658826539499,
%U A194534 418261269510360187893175534,9248796169262343437995449320699,424095060368117191810477243815045914
%N A194534 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 one horizontal or vertical neighbor.
%C A194534 Column 2 of A194540
%e A194534 Some solutions for 3X3
%e A194534 ..0......0......0......0......0......0......0......0......0......0......0
%e A194534 ..0.1....0.1....1.2....1.1....1.2....1.1....1.1....1.2....1.1....1.0....1.1
%e A194534 ..2.0.0..1.0.0..0.2.0..2.0.0..2.1.2..0.2.1..2.2.1..0.1.0..2.0.2..1.2.0..0.2.0
%K A194534 nonn
%O A194534 1,2
%A A194534 _R. H. Hardin_ Aug 28 2011