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A206452 Number of 0..5 arrays of length n avoiding the consecutive pattern 0..5. 1
6, 36, 216, 1296, 7776, 46655, 279924, 1679508, 10076832, 60459696, 362750400, 2176455745, 13058454546, 78349047768, 470084209776, 2820444798960, 16922306043360, 101531659804415, 609176900371944, 3654983053183896 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A206455.

LINKS

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

FORMULA

Empirical: a(n) = 6*a(n-1) - a(n-6).

Empirical: a(n) = Sum_{i=0..floor(n/6)} ((-1)^i*6^(n-6*i)*binomial(n-5*i,i)).

Empirical g.f.: x*(6 - x^5) / (1 - 6*x + x^6). - Colin Barker, Jun 16 2018

CROSSREFS

Cf. A206455.

Sequence in context: A126634 A216128 A007275 * A215748 A000400 A238936

Adjacent sequences:  A206449 A206450 A206451 * A206453 A206454 A206455

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 07 2012

STATUS

approved

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Last modified March 8 20:14 EST 2021. Contains 341953 sequences. (Running on oeis4.)