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.
12, 95, 655, 4464, 31429, 231395, 1784723, 14404136, 121420974, 1066906857, 9753108365, 92586250829, 911156723851
Offset: 1
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Examples
Some solutions for n=2 containing a 2 ..0............0............0............0............0............0 ..1.1..........0.0..........0.0..........0.0..........0.0..........1.1 ..1.1.1........1.1.1........1.1.1........0.0.0........0.0.0........1.1.1 ..0.0.0.0......1.1.1.1......1.1.1.1......0.0.0.1......1.1.1.1......1.1.1.2 ..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 ..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
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