id:A088004 - OEIS Search Results

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Truncated "Mertens-function": values of -1 at primes are left out, i.e. summatory-Moebius when argument runs through nonprimes.

+0
6

1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 8, 8, 8, 8, 7, 7, 7, 8, 9, 10, 10, 10, 11, 12, 12, 12, 11, 11, 11, 11, 12, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 15, 16, 16, 16, 16, 17, 17, 17, 18, 17, 17, 17, 18, 17, 17, 17, 17, 18, 18, 18, 19, 18, 18, 18, 18 (list; graph; listen)

	OFFSET	`1,6`
	FORMULA	`a(n)=A002321[n]-(-1).pi[n]=A002321(n)+A000720(n)`
	EXAMPLE	`Since the principal source of negative excursions of Mertens-function is here eliminated, most probably this sequence increases ad infinitum albeit non-monotonically; decrease at squarefree numbers with odd number of p-divisors like 30,42,...`
	MATHEMATICA	`mer[x_] := mer[x-1]+MoebiusMu[x]; mer[0]=0; $RecursionLimit=1000; Table[mer[w]+PrimePi[w], {w, 1, 256}]`
	CROSSREFS	`Sequence in context: A091226 A097913 A029269 this_sequence A070548 A132011 A054893` `Adjacent sequences: A088001 A088002 A088003 this_sequence A088005 A088006 A088007`
	KEYWORD	`nonn`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu), Oct 14 2003`

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.

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