A242469 Number of length n+2 0..6 arrays with no three equal elements in a row and new values 0..6 introduced in 0..6 order.

4, 12, 41, 159, 685, 3232, 16497, 90075, 520248, 3143900, 19678699, 126480319, 828889655, 5508880129, 36980189248, 249999755818, 1698491520413, 11579658486155, 79137696973965, 541762392142995, 3713215153801152

Offset: 1

Author

R. H. Hardin, May 15 2014

Keywords

• nonn

Comments

Column 6 of A242472

Examples

			Some solutions for n=4
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..1....1....1....1....0....1....1....1....1....1....1....0....1....1....1....1
..2....2....2....2....1....2....2....0....2....2....2....1....1....2....2....1
..3....1....3....3....1....0....3....2....0....3....0....0....2....1....0....2
..4....3....2....3....2....3....0....3....0....1....2....2....0....3....2....0
..3....4....4....4....3....0....3....2....1....1....1....1....0....3....3....1
		

Links

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

Formula

Empirical: a(n) = 16*a(n-1) -79*a(n-2) +70*a(n-3) +361*a(n-4) -372*a(n-5) -964*a(n-6) +144*a(n-7) +1116*a(n-8) +720*a(n-9) +144*a(n-10)