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A085033
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Number of prime factors of cyclotomic(n,8), which is A019326(n), the value of the n-th cyclotomic polynomial evaluated at x=8.
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1
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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
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OFFSET
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1,2
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COMMENTS
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The Mobius transform of this sequence yields A057953, number of prime factors of 8^n-1.
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REFERENCES
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See references at A085021
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LINKS
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Table of n, a(n) for n=1..84.
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MATHEMATICA
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Table[Plus@@Transpose[FactorInteger[Cyclotomic[n, 8]]][[2]], {n, 1, 100}]
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CROSSREFS
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Cf. A019326, A057953, A085021.
Sequence in context: A144590 A057368 A192394 * A230254 A299484 A327007
Adjacent sequences: A085030 A085031 A085032 * A085034 A085035 A085036
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KEYWORD
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nonn
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AUTHOR
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T. D. Noe, Jun 19 2003
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STATUS
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approved
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