

A084237


a(n) = M(10^n), where M(n) is Mertens' function.


4



1, 1, 1, 2, 23, 48, 212, 1037, 1928, 222, 33722, 87856, 62366, 599582, 875575, 3216373, 3195437, 21830254, 46758740, 899990187, 461113106, 3395895277, 2061910120
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OFFSET

0,4


LINKS

Table of n, a(n) for n=0..22.
B. Boncompagni, Selected values of the Mertens function
Eugene Kuznetsov, Computing the Mertens function on a GPU, arXiv:1108.0135 [math.NT], 2011.
Eric Weisstein's World of Mathematics, Mertens Function


FORMULA

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


MATHEMATICA

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


PROG

(Perl) use ntheory ":all"; say mertens(10**$_) for 0..15; # Dana Jacobsen, May 22 2015


CROSSREFS

Cf. A002321, A008683.
Sequence in context: A049592 A057621 A074809 * A106928 A070934 A031915
Adjacent sequences: A084234 A084235 A084236 * A084238 A084239 A084240


KEYWORD

sign,more


AUTHOR

Robert G. Wilson v, May 15 2003


EXTENSIONS

More terms from Eric W. Weisstein, Jun 27 2003
a(17) from Bernardo Boncompagni, Jul 06 2011
Corrected a(17) and added a(18)a(22) from Eugene Kuznetsov, a(17)a(19) independently confirmed by Richard Sladkey, Aug 28 2012


STATUS

approved



