id:A085031 - OEIS Search Results

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Number of prime factors of cyclotomic(n,6), which is A019324(n), the value of the n-th cyclotomic polynomial evaluated at x=6.

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

	OFFSET	`1,5`
	COMMENT	`The Mobius transform of this sequence yields A057955, number of prime factors of 6^n-1.`
	REFERENCES	`See references at A085021`
	MATHEMATICA	`Table[Plus@@Transpose[FactorInteger[Cyclotomic[n, 6]]][[2]], {n, 1, 100}]`
	CROSSREFS	`Cf. A019324, A057955, A085021.` `Sequence in context: A038605 A113121 A109036 this_sequence A029342 A029408 A029415` `Adjacent sequences: A085028 A085029 A085030 this_sequence A085032 A085033 A085034`
	KEYWORD	`nonn`
	AUTHOR	`T. D. Noe (noe(AT)sspectra.com), Jun 19 2003`

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Last modified December 5 23:38 EST 2009. Contains 170428 sequences.

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