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A194782 Number of lower triangles of a (2n+2)X(2n+2) 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 A194782 #6 Jul 22 2025 12:36:34
%S A194782 12,95,655,4464,31429,231395,1784723,14404136,121420974,1066906857,
%T A194782 9753108365,92586250829,911156723851
%N A194782 Number of lower triangles of a (2n+2)X(2n+2) 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 A194782 Row 4 of A194778
%e A194782 Some solutions for n=2 containing a 2
%e A194782 ..0............0............0............0............0............0
%e A194782 ..1.1..........0.0..........0.0..........0.0..........0.0..........1.1
%e A194782 ..1.1.1........1.1.1........1.1.1........0.0.0........0.0.0........1.1.1
%e A194782 ..0.0.0.0......1.1.1.1......1.1.1.1......0.0.0.1......1.1.1.1......1.1.1.2
%e A194782 ..0.0.0.0.0....1.1.1.1.1....1.1.1.1.1....0.0.0.1.1....1.1.1.1.1....1.1.1.2.2
%e A194782 ..2.2.2.2.2.2..2.2.2.2.2.2..1.1.1.1.1.2..0.0.0.1.1.2..1.1.1.1.1.2..1.1.1.2.2.0
%K A194782 nonn
%O A194782 1,1
%A A194782 _R. H. Hardin_ Sep 02 2011