A232131 Number of (n+1) X (2+1) 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order.

36, 728, 14752, 298912, 6056640, 122721280, 2486611712, 50384397824, 1020902270976, 20685797427200, 419141212008448, 8492752393142272, 172082441775661056, 3486780892303556608, 70650095765044723712

Offset: 1

Author

R. H. Hardin, Nov 19 2013

Keywords

• nonn

Examples

			Some solutions for n=4:
..0..1..0....0..1..0....0..1..0....0..1..0....0..1..0....0..1..0....0..1..0
..1..0..0....0..1..0....1..0..2....0..0..2....0..1..0....0..1..1....1..0..1
..1..2..1....1..2..0....0..1..0....2..2..1....0..0..2....1..0..0....2..1..2
..0..1..2....0..2..0....2..0..1....0..2..1....1..2..1....1..2..2....0..0..1
..2..0..2....2..1..0....0..1..2....1..0..1....0..1..0....1..0..2....1..0..2
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..210

Crossrefs

Column 2 of A232137.

Formula

Empirical: a(n) = 22*a(n-1) - 36*a(n-2) + 16*a(n-3).

Empirical g.f.: 4*x*(9 - 16*x + 8*x^2) / (1 - 22*x + 36*x^2 - 16*x^3). - Colin Barker, Oct 03 2018