id:A085028 - OEIS Search Results

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Number of prime factors of cyclotomic(n,3), which is A019321(n), the value of the n-th cyclotomic polynomial evaluated at x=3.

+0
2

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

	OFFSET	`1,2`
	COMMENT	`The Mobius transform of this sequence yields A057958, number of prime factors of 3^n-1.`
	REFERENCES	`See references at A085021`
	MATHEMATICA	`Table[Plus@@Transpose[FactorInteger[Cyclotomic[n, 3]]][[2]], {n, 1, 100}]`
	CROSSREFS	`Cf. A019321, A057958, A085021.` `Sequence in context: A135689 A029438 A081592 this_sequence A087888 A109494 A074292` `Adjacent sequences: A085025 A085026 A085027 this_sequence A085029 A085030 A085031`
	KEYWORD	`nonn`
	AUTHOR	`T. D. Noe (noe(AT)sspectra.com), Jun 19 2003`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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