%I #4 Mar 31 2012 12:36:22
%S 6,41,265,1736,11857,85007,639753,5045602,41615156,358185389,
%T 3210667479,29914284821,289187621887
%N Number of lower triangles of a (2n+1)X(2n+1) 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 Row 3 of A194778
%e Some solutions for n=2 containing a 2
%e ..0..........0..........0..........0..........0..........0..........0
%e ..1.1........1.1........1.1........0.0........1.1........1.1........0.1
%e ..1.1.2......1.1.1......1.1.1......1.1.1......1.1.1......1.1.2......0.1.1
%e ..1.1.2.2....1.1.1.1....1.1.1.2....1.1.1.1....2.2.2.2....1.1.2.2....0.1.1.1
%e ..1.1.2.2.1..2.2.2.2.2..1.1.1.2.2..1.1.1.1.2..2.2.2.2.0..1.1.2.2.0..0.1.1.1.2
%K nonn
%O 1,1
%A _R. H. Hardin_ Sep 02 2011