id:A085030 - OEIS Search Results

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Number of prime factors of cyclotomic(n,5), which is A019323(n), the value of the n-th cyclotomic polynomial evaluated at x=5.

+0
2

2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 1, 4, 2, 4, 1, 3, 2, 2, 3, 2, 2, 4, 2, 3, 3, 2, 2, 2, 4, 2, 2, 3, 2, 1, 1, 1, 2, 3, 3, 3, 4, 5, 1, 1, 2, 2, 2, 3, 3, 3, 4, 3, 2, 5, 4, 4, 2, 2, 3, 3, 3, 5, 2, 3, 2, 3, 2, 2, 4, 3, 2, 3, 4, 3, 1, 6, 1, 2, 1, 4, 3, 4, 2, 3, 3, 4, 3 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`The Mobius transform of this sequence yields A057956, number of prime factors of 5^n-1.`
	REFERENCES	`See references at A085021`
	MATHEMATICA	`Table[Plus@@Transpose[FactorInteger[Cyclotomic[n, 5]]][[2]], {n, 1, 100}]`
	CROSSREFS	`Cf. A019323, A057956, A085021.` `Sequence in context: A128853 A136165 A134193 this_sequence A078377 A105697 A080757` `Adjacent sequences: A085027 A085028 A085029 this_sequence A085031 A085032 A085033`
	KEYWORD	`nonn`
	AUTHOR	`T. D. Noe (noe(AT)sspectra.com), Jun 19 2003`

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.

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