id:A086765 - OEIS Search Results

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Number of positive terms in n-th cyclotomic polynomial.

+0
5

1, 2, 3, 2, 5, 2, 7, 2, 3, 3, 11, 2, 13, 4, 4, 2, 17, 2, 19, 3, 5, 6, 23, 2, 5, 7, 3, 4, 29, 4, 31, 2, 8, 9, 9, 2, 37, 10, 9, 3, 41, 5, 43, 6, 4, 12, 47, 2, 7, 3, 12, 7, 53, 2, 9, 4, 13, 15, 59, 4, 61, 16, 5, 2, 16, 8, 67, 9, 16, 9, 71, 2, 73, 19, 4, 10, 16, 9, 79, 3, 3, 21, 83, 5, 21, 22, 20, 6 (list; graph; listen)

	OFFSET	`1,2`
	REFERENCES	`See A051664`
	LINKS	`T. D. Noe, Table of n, a(n) for n=1..1000`
	FORMULA	`If n = p^m is a prime power then a(n) = p.`
	MATHEMATICA	`Table[Count[CoefficientList[Cyclotomic[n, x], x], _?(#>0&)], {n, 0, 100}]`
	CROSSREFS	`Cf. A007947.` `Cf. A051664 (number of nonzero terms in n-th cyclotomic polynomial).` `Adjacent sequences: A086762 A086763 A086764 this_sequence A086766 A086767 A086768` `Sequence in context: A134332 A080210 A126594 this_sequence A079868 A088444 A108077`
	KEYWORD	`nonn`
	AUTHOR	`Yuval Dekel (dekelyuval(AT)hotmail.com), Aug 02 2003`
	EXTENSIONS	`More terms from T. D. Noe (noe(AT)sspectra.com), Aug 08 2003`

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Last modified October 7 08:31 EDT 2008. Contains 144667 sequences.

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