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A085033 Number of prime factors of cyclotomic(n,8), which is A019326(n), the value of the n-th cyclotomic polynomial evaluated at x=8. 1
1, 2, 1, 2, 2, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 3, 4, 2, 3, 4, 2, 3, 3, 2, 4, 2, 3, 4, 5, 1, 2, 3, 3, 4, 5, 2, 5, 3, 4, 2, 4, 1, 4, 4, 3, 3, 5, 2, 3, 3, 2, 8, 7, 4, 4, 3, 2, 3, 5, 3, 4, 3, 2, 3, 2, 2, 5, 7, 4, 5, 6, 2, 6, 5, 4, 6, 3, 1, 7, 3, 4, 5, 4, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The Mobius transform of this sequence yields A057953, number of prime factors of 8^n-1.

REFERENCES

See references at A085021

LINKS

Table of n, a(n) for n=1..84.

MATHEMATICA

Table[Plus@@Transpose[FactorInteger[Cyclotomic[n, 8]]][[2]], {n, 1, 100}]

CROSSREFS

Cf. A019326, A057953, A085021.

Sequence in context: A144590 A057368 A192394 * A230254 A299484 A327007

Adjacent sequences:  A085030 A085031 A085032 * A085034 A085035 A085036

KEYWORD

nonn

AUTHOR

T. D. Noe, Jun 19 2003

STATUS

approved

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Last modified September 30 03:35 EDT 2020. Contains 337433 sequences. (Running on oeis4.)