id:A085029 - OEIS Search Results

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Number of prime factors of cyclotomic(n,4), which is A019322(n), the value of the n-th cyclotomic polynomial evaluated at x=4.

+0
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1, 1, 2, 1, 2, 1, 2, 1, 3, 2, 3, 1, 2, 2, 2, 1, 2, 2, 2, 1, 3, 2, 3, 2, 4, 3, 3, 1, 5, 2, 2, 2, 3, 3, 4, 2, 4, 3, 3, 1, 4, 2, 4, 2, 3, 4, 5, 2, 2, 4, 6, 2, 5, 2, 6, 2, 4, 2, 5, 1, 2, 4, 3, 2, 4, 2, 4, 3, 3, 2, 5, 2, 5, 4, 3, 3, 4, 5, 4, 2, 7, 4, 7, 2, 2, 4, 3, 3, 4, 3, 6, 1, 3, 3, 5, 1, 6, 3, 5, 4 (list; graph; listen)

	OFFSET	`1,3`
	COMMENT	`The Mobius transform of this sequence yields A057957, number of prime factors of 4^n-1.`
	REFERENCES	`See references at A085021`
	MATHEMATICA	`Table[Plus@@Transpose[FactorInteger[Cyclotomic[n, 4]]][[2]], {n, 1, 100}]`
	CROSSREFS	`Cf. A019322, A057957, A085021.` `Sequence in context: A023124 A023120 A126433 this_sequence A008622 A029414 A053275` `Adjacent sequences: A085026 A085027 A085028 this_sequence A085030 A085031 A085032`
	KEYWORD	`nonn`
	AUTHOR	`T. D. Noe (noe(AT)sspectra.com), Jun 19 2003`

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Last modified December 8 08:31 EST 2009. Contains 170430 sequences.

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