A194781 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.
6, 41, 265, 1736, 11857, 85007, 639753, 5045602, 41615156, 358185389, 3210667479, 29914284821, 289187621887
Offset: 1
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Examples
Some solutions for n=2 containing a 2 ..0..........0..........0..........0..........0..........0..........0 ..1.1........1.1........1.1........0.0........1.1........1.1........0.1 ..1.1.2......1.1.1......1.1.1......1.1.1......1.1.1......1.1.2......0.1.1 ..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 ..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
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