id:A085032 - OEIS Search Results

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Number of prime factors of cyclotomic(n,7), which is A019325(n), the value of the n-th cyclotomic polynomial evaluated at x=7.

+0
2

2, 3, 2, 3, 1, 1, 2, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 2, 2, 5, 1, 3, 1, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 1, 2, 1, 4, 1, 4, 2, 3, 1, 1, 4, 4, 1, 4, 2, 4, 3, 1, 4, 5, 2, 4, 3, 3, 4, 2, 3, 5, 2, 2, 1, 3, 3, 2, 3, 5, 4, 7, 1 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`The Mobius transform of this sequence yields A057954, number of prime factors of 7^n-1.`
	REFERENCES	`See references at A085021`
	MATHEMATICA	`Table[Plus@@Transpose[FactorInteger[Cyclotomic[n, 7]]][[2]], {n, 1, 100}]`
	CROSSREFS	`Cf. A019325, A057954, A085021.` `Adjacent sequences: A085029 A085030 A085031 this_sequence A085033 A085034 A085035` `Sequence in context: A105436 A059905 A014836 this_sequence A004549 A026600 A106560`
	KEYWORD	`nonn`
	AUTHOR	`T. D. Noe (noe(AT)sspectra.com), Jun 19 2003`

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Last modified October 13 02:37 EDT 2008. Contains 145008 sequences.

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