id:A070537 - OEIS Search Results

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n-th cyclotomic polynomial has more terms then the largest prime factor of n.

+0
3

1, 15, 21, 30, 33, 35, 39, 42, 45, 51, 55, 57, 60, 63, 65, 66, 69, 70, 75, 77, 78, 84, 85, 87, 90, 91, 93, 95, 99, 102, 105, 110, 111, 114, 115, 117, 119, 120, 123, 126, 129, 130, 132, 133, 135, 138, 140, 141, 143, 145, 147, 150, 153, 154, 155, 156, 159, 161, 165 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`When (as at n=105) coefficients are not equal 1 or -1 then terms in C[n,x] are counted with multiplicity.`
	FORMULA	`A070536(n)=A051664[n]-A06530[n] > 0`
	EXAMPLE	`n=21: Cyclotomic[21,x]=1-x+x^3-x^4+x^6-x^8+x^9-x^11+x^12 has 9 terms while largest prime factor of 21 is 7; 9 > 7, 21 is here.`
	CROSSREFS	`Tells when A070536(n)=A051664[n]-A006530[n] is not equal to 0. Cf. A006530, A051664, A070776, A070776.` `Sequence in context: A102030 A026048 A047200 this_sequence A070005 A061346 A046388` `Adjacent sequences: A070534 A070535 A070536 this_sequence A070538 A070539 A070540`
	KEYWORD	`nonn`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu), May 03 2002`

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

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