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A194784 Number of lower triangles of a (2n+4)X(2n+4) 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.

%I A194784 #6 Jul 22 2025 12:36:49
%S A194784 43,493,4069,30608,229869,1782111,14399939,121414559,1066897441,
%T A194784 9753094999,92586232382,911156698994
%N A194784 Number of lower triangles of a (2n+4)X(2n+4) 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 A194784 Row 6 of A194778
%e A194784 Some solutions for n=2 containing a 2
%e A194784 ..0................0................0................0
%e A194784 ..1.1..............0.0..............1.1..............0.0
%e A194784 ..1.1.1............0.0.0............1.1.1............0.0.0
%e A194784 ..1.1.1.1..........1.1.1.1..........2.2.2.2..........1.1.1.1
%e A194784 ..1.1.1.1.1........1.1.1.1.1........2.2.2.2.0........1.1.1.1.0
%e A194784 ..1.1.1.1.1.1......2.2.2.2.2.2......2.2.2.2.0.0......1.1.1.1.0.0
%e A194784 ..1.1.1.1.1.1.1....2.2.2.2.2.2.2....2.2.2.2.0.0.0....1.1.1.1.0.0.2
%e A194784 ..1.1.1.1.1.1.1.2..2.2.2.2.2.2.2.2..2.2.2.2.0.0.0.2..1.1.1.1.0.0.2.2
%K A194784 nonn
%O A194784 1,1
%A A194784 _R. H. Hardin_ Sep 02 2011