A214188 Number of 0..6 colorings of a 1 X (n+1) array circular in the n+1 direction with new values 0..6 introduced in row major order.

1, 1, 4, 11, 41, 162, 714, 3397, 17251, 92048, 509444, 2893683, 16734381, 97965934, 578241694, 3431848769, 20442513431, 122066210220, 730058053464, 4371040179055, 26189154314401, 156987015743306, 941331763528754

Offset: 1

Author

R. H. Hardin, Jul 07 2012

Keywords

• nonn

Comments

Row 1 of A214187.

Examples

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

Links

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

Crossrefs

Cf. A214187.

Formula

Empirical: a(n) = 15*a(n-1) - 79*a(n-2) + 165*a(n-3) - 64*a(n-4) - 180*a(n-5) + 144*a(n-6).

Empirical g.f.: x*(1 - 14*x + 68*x^2 - 135*x^3 + 91*x^4) / ((1 - x)*(1 + x)*(1 - 2*x)*(1 - 3*x)*(1 - 4*x)*(1 - 6*x)). - Colin Barker, Mar 09 2018