A214239 Number of 0..7 colorings of a 1 X (n+1) array circular in the n+1 direction with new values 0..7 introduced in row major order.

1, 1, 4, 11, 41, 162, 715, 3424, 17686, 97493, 567986, 3462537, 21880951, 142148644, 942800317, 6349172750, 43233294236, 296737912815, 2048310985708, 14196341292463, 98674810415941, 687263739609206, 4793697038780159

Offset: 1

Author

R. H. Hardin, Jul 08 2012

Keywords

• nonn

Comments

Row 1 of A214238.

Examples

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

Links

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

Crossrefs

Cf. A214238.

Formula

Empirical: a(n) = 21*a(n-1) - 168*a(n-2) + 630*a(n-3) - 1029*a(n-4) + 189*a(n-5) + 1198*a(n-6) - 840*a(n-7).

Empirical g.f.: x*(1 - 20*x + 151*x^2 - 535*x^3 + 881*x^4 - 531*x^5) / ((1 - x)*(1 + x)*(1 - 2*x)*(1 - 3*x)*(1 - 4*x)*(1 - 5*x)*(1 - 7*x)).- Colin Barker, Mar 09 2018