A206614 Number of (n+1) X 2 0..2 arrays with every 2 X 3 or 3 X 2 subblock having no more than two equal edges, and new values 0..2 introduced in row major order.

14, 86, 580, 4035, 27895, 192358, 1327931, 9168477, 63292982, 436934969, 3016371943, 20823400074, 143753294443, 992394181981, 6850947582710, 47295197965905, 326500200032495, 2253978967732298, 15560239102262371

Offset: 1

Author

R. H. Hardin, Feb 10 2012

Keywords

• nonn

Comments

Column 1 of A206621.

Examples

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

Links

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

Crossrefs

Cf. A206621.

Formula

Empirical: a(n) = 7*a(n-1) - 5*a(n-2) + 36*a(n-3) - 42*a(n-4) for n>5.

Empirical g.f.: x*(14 - 12*x + 48*x^2 - 99*x^3 + 42*x^4) / (1 - 7*x + 5*x^2 - 36*x^3 + 42*x^4). - Colin Barker, Jun 17 2018