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A084237 a(n) = M(10^n), where M(n) is Mertens's function. +0
3
1, -1, 1, 2, -23, -48, 212, 1037, 1928, -222, -33722, -87856, 62366, 599582, -875575, -3216373, -3195437 (list; graph; listen)
OFFSET

0,4

LINKS

Eric Weisstein's World of Mathematics, Mertens Function

FORMULA

Mertens's function: Sum_{1<=k<=n} mu(k), where mu = Moebius function (A008683).

MATHEMATICA

s = 0; i = 1; Do[ While[i <= 10^n, s = s + MoebiusMu[i]; i++ ]; Print[s], {n, 0, 50}]

CROSSREFS

Cf. A002321.

Sequence in context: A049592 A057621 A074809 this_sequence A106928 A070934 A031915

Adjacent sequences: A084234 A084235 A084236 this_sequence A084238 A084239 A084240

KEYWORD

sign

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), May 15 2003

EXTENSIONS

More terms from Eric Weisstein (eric(AT)weisstein.com), Jun 27, 2003

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.


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