id:A063453 - OEIS Search Results

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Multiplicative with a(p^e) = 1-p^3.

+0
3

1, -7, -26, -7, -124, 182, -342, -7, -26, 868, -1330, 182, -2196, 2394, 3224, -7, -4912, 182, -6858, 868, 8892, 9310, -12166, 182, -124, 15372, -26, 2394, -24388, -22568, -29790, -7, 34580, 34384, 42408, 182, -50652, 48006, 57096, 868, -68920, -62244, -79506, 9310, 3224, 85162, -103822, 182 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`More generally, Dirichlet g.f. for Sum_{d\|n} mu(d)d^k is zeta(s)/zeta(s-k).` `Apart from different signs also Sum_{d\|n} core(d)^3mu(n/d) where core(x) is the squarefree part of x. - Benoit Cloitre (benoit7848c(AT)orange.fr), May 31 2002`
	FORMULA	`a(n) = Sum_{d\|n} mu(d)*d^3. Dirichlet g.f.: zeta(s)/zeta(s-3).`
	CROSSREFS	`Cf. A023900, A046970.` `Sequence in context: A081298 A012490 A157702 this_sequence A098127 A131905 A110927` `Adjacent sequences: A063450 A063451 A063452 this_sequence A063454 A063455 A063456`
	KEYWORD	`mult,sign`
	AUTHOR	`Vladeta Jovovic (vladeta(AT)eunet.rs), Jul 26 2001`

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Last modified December 5 08:23 EST 2009. Contains 170348 sequences.

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