id:A079627 - OEIS Search Results

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Sum(mu(m) : prime(n) < m < prime(n+1)), where mu is the Moebius function (A008683).

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0, 0, 1, 1, 0, 2, 0, 2, 1, -1, 3, 2, -1, 1, 1, 3, 0, 1, 0, 0, 1, 1, 3, 4, 0, -1, 0, 0, 0, 4, 0, 2, -1, 5, 0, 0, 3, 0, -1, 1, 0, 0, 0, 0, 0, 7, 6, 1, 0, -2, 1, 0, 1, 1, 1, 1, 0, 0, 1, -1, -1, 7, 0, 0, 1, 5, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 5, 0, 0, 2, 0, -1, 0, -2, -1, 3, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 5, 0, 4, 4, 2, 1, 2, 1, 0, 3 (list; graph; listen)

	OFFSET	`1,6`
	COMMENT	`a(n) = A002321(A000040(n+1)-1) - A002321(A000040(n)).`
	EXAMPLE	`n=16: adding mu(m) for A000040(16)=53 < m < A000040(17)=59: a(16) = mu(54)+mu(55)+mu(56)+mu(57)+mu(58) = mu(23^3)+mu(511)+mu(72^3)+mu(319)+mu(229) = 0+(-1)(-1)+0+(-1)(-1)+(-1)(-1) = 1+1+1 = 3.`
	CROSSREFS	`Sequence in context: A029399 A046069 A055651 this_sequence A061398 A080232 A008482` `Adjacent sequences: A079624 A079625 A079626 this_sequence A079628 A079629 A079630`
	KEYWORD	`sign`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jan 30 2003`

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

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