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A206454 Number of 0..7 arrays of length n avoiding the consecutive pattern 0..7. 1
8, 64, 512, 4096, 32768, 262144, 2097152, 16777215, 134217712, 1073741632, 8589932544, 68719456256, 549755617280, 4398044676096, 35184355311616, 281474825715713, 2251798471507992, 18014386698322304, 144115084996645888 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 7 of A206455.

LINKS

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

FORMULA

Empirical: a(n) = 8*a(n-1) - a(n-8).

Empirical: a(n) = sum{i in 0..floor(n/8)} ((-1)^i*8^(n-8*i)*binomial(n-7*i,i)).

Empirical g.f.: x*(8 - x^7) / (1 - 8*x + x^8). - Colin Barker, Jun 16 2018

CROSSREFS

Cf. A206455.

Sequence in context: A250360 A190130 A125908 * A001018 A097682 A050738

Adjacent sequences:  A206451 A206452 A206453 * A206455 A206456 A206457

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 07 2012

STATUS

approved

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Last modified August 14 17:44 EDT 2018. Contains 313751 sequences. (Running on oeis4.)