id:A097558 - OEIS Search Results

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Sum{k=1 to oo} a(k)/k^r = sqrt(zeta(r) -3/4) +1/2.

+0
1

1, 1, 1, 0, 1, -1, 1, 1, 0, -1, 1, 3, 1, -1, -1, -1, 1, 3, 1, 3, -1, -1, 1, -7, 0, -1, 1, 3, 1, 7, 1, 3, -1, -1, -1, -12, 1, -1, -1, -7, 1, 7, 1, 3, 3, -1, 1, 19, 0, 3, -1, 3, 1, -7, -1, -7, -1, -1, 1, -27, 1, -1, 3, -6, -1, 7, 1, 3, -1, 7, 1, 45, 1, -1, 3, 3, -1, 7, 1, 19, -1, -1, 1, -27, -1, -1, -1, -7, 1, -27, -1, 3, -1, -1, -1, -51, 1, 3, 3, -12, 1, 7 (list; graph; listen)

	OFFSET	`1,12`
	COMMENT	`The "+ 1/2" in the Dirichlet series generating function was added so the first term of the sequence is an integer. We could have added/subtracted any other integer+1/2 instead, and then had the first term equal another integer. "zeta(r)" refers to sum{k=1 to oo} 1/k^r.`
	FORMULA	`a(1)=1; for n>=2, a(n) = 1 - sum{k\|n, 2<=k<=n-1} a(n/k) a(k).`
	CROSSREFS	`Adjacent sequences: A097555 A097556 A097557 this_sequence A097559 A097560 A097561` `Sequence in context: A130046 A014491 A061680 this_sequence A124385 A106478 A115069`
	KEYWORD	`sign`
	AUTHOR	`Leroy Quet (qq-quet(AT)mindspring.com), Aug 27 2004`
	EXTENSIONS	`More terms from David Wasserman (dwasserm(AT)earthlink.net), Dec 27 2007`

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.

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