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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. 2
1, 1, 4, 11, 41, 162, 714, 3397, 17251, 92048, 509444, 2893683, 16734381, 97965934, 578241694, 3431848769, 20442513431, 122066210220, 730058053464, 4371040179055, 26189154314401, 156987015743306, 941331763528754 (list; graph; refs; listen; history; text; internal format)
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 gf.: 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

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Last modified October 23 01:49 EDT 2020. Contains 337962 sequences. (Running on oeis4.)