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A085029 Number of prime factors of cyclotomic(n,4), which is A019322(n), the value of the n-th cyclotomic polynomial evaluated at x=4. 1
1, 1, 2, 1, 2, 1, 2, 1, 3, 2, 3, 1, 2, 2, 2, 1, 2, 2, 2, 1, 3, 2, 3, 2, 4, 3, 3, 1, 5, 2, 2, 2, 3, 3, 4, 2, 4, 3, 3, 1, 4, 2, 4, 2, 3, 4, 5, 2, 2, 4, 6, 2, 5, 2, 6, 2, 4, 2, 5, 1, 2, 4, 3, 2, 4, 2, 4, 3, 3, 2, 5, 2, 5, 4, 3, 3, 4, 5, 4, 2, 7, 4, 7, 2, 2, 4, 3, 3, 4, 3, 6, 1, 3, 3, 5, 1, 6, 3, 5, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

The Mobius transform of this sequence yields A057957, number of prime factors of 4^n-1.

REFERENCES

See references at A085021

LINKS

Table of n, a(n) for n=1..100.

MATHEMATICA

Table[Plus@@Transpose[FactorInteger[Cyclotomic[n, 4]]][[2]], {n, 1, 100}]

CROSSREFS

Cf. A019322, A057957, A085021.

Sequence in context: A237271 A336041 A176725 * A185318 A008622 A029414

Adjacent sequences:  A085026 A085027 A085028 * A085030 A085031 A085032

KEYWORD

nonn

AUTHOR

T. D. Noe, Jun 19 2003

STATUS

approved

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Last modified September 23 04:54 EDT 2020. Contains 337295 sequences. (Running on oeis4.)