id:A098018 - OEIS Search Results

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Sum{k|n,k>=2} mu(k-1), where mu() is the Moebius function.

+0
5

0, 1, -1, 0, 0, -1, 1, -1, -1, 1, 1, -3, 0, 1, 0, 0, 0, -2, 0, -1, 0, 3, 1, -5, 0, 1, 0, 0, 0, -1, -1, -1, 0, 2, 2, -3, 0, 0, 0, -1, 0, -2, -1, 1, 0, 2, 1, -5, 1, 1, -1, 1, 0, -2, 1, 0, -1, 2, 1, -5, 0, -1, 1, -1, 0, 2, -1, 0, 0, 3, -1, -6, 0, 0, 1, -1, 2, 1, -1, -1, 0, 1, 1, -5, 0, 1, 0, 1, 0, -3, 1, 2, -2, 3, 1, -5, 0, 0, 0, -1, 0, -1, -1, -1, 2 (list; graph; listen)

	OFFSET	`1,12`
	EXAMPLE	`12's divisors >=2 are 2, 3, 4, 6, and 12. So a(12) = mu(1)+mu(2)+mu(3)+mu(5)+mu(11) = 1-1-1-1-1 = -3.`
	MATHEMATICA	`f[n_] := Plus @@ MoebiusMu[ Drop[ Divisors[n], 1] - 1]; Table[ f[n], {n, 105}] (from Robert G. Wilson v Nov 01 2004)`
	CROSSREFS	`Cf. A008683, A098035.` `Adjacent sequences: A098015 A098016 A098017 this_sequence A098019 A098020 A098021` `Sequence in context: A009133 A009138 A111025 this_sequence A107093 A051830 A106216`
	KEYWORD	`sign`
	AUTHOR	`Leroy Quet (qq-quet(AT)mindspring.com), Oct 24 2004`
	EXTENSIONS	`More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Nov 01 2004`

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Last modified October 13 09:05 EDT 2008. Contains 145008 sequences.

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