id:A120963 - OEIS Search Results

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A120963

Number of monic polynomials with integer coefficients of degree n with all roots on the unit circle; number of products of cyclotomic polynomials of degree n.

+0
2

1, 2, 6, 10, 24, 38, 78, 118, 224, 330, 584, 838, 1420, 2002, 3258, 4514, 7134, 9754, 15010, 20266, 30532, 40798, 60280, 79762, 115966, 152170, 217962, 283754, 401250, 518746, 724866, 930986, 1287306, 1643626, 2250538, 2857450, 3878298, 4899146 (list; graph; listen)

	OFFSET	`0,2`
	LINKS	`T. D. Noe, Table of n, a(n) for n=0..1000`
	FORMULA	`Euler transform of A014197.`
	EXAMPLE	`The six polynomials of degree 2 consist of 3 irreducible cyclotomic polynomials: x^2+1, x^2+x+1 and x^2-x+1 and 3 products of 2 linear cyclotomic polynomials: x^2+2x+1, x^2-1 and x^2-2x+1.`
	CROSSREFS	`Cf. A014197, A051894.` `Sequence in context: A049750 A134016 A072297 this_sequence A104142 A079713 A055237` `Adjacent sequences: A120960 A120961 A120962 this_sequence A120964 A120965 A120966`
	KEYWORD	`easy,nonn`
	AUTHOR	`Frank Adams-Watters (FrankTAW(AT)Netscape.net), Jul 19 2006`

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

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