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

1,3

Comments

Row 1 of A214187.

Links

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

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

Example

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

Crossrefs

Cf. A214187.

Sequence in context: A307702 A214167 A278988 * A214239 A278989 A000296

Adjacent sequences: A214185 A214186 A214187 * A214189 A214190 A214191

Keyword

nonn

Author

R. H. Hardin, Jul 07 2012

Status

approved