

A093774


Smallest integers at which the value of truncated Mertens function equals n!.


2



1, 6, 21, 93, 698, 5377, 48198, 483817, 5231438, 61160870, 774696437, 10552025533, 153901234789
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OFFSET

1,2


COMMENTS

Observe that magnitude of a(n) is not far from that of (n1)!.


LINKS

Table of n, a(n) for n=1..13.


FORMULA

Solutions to Min(x : A088004(x) = n!), i.e., a(n) = Min(x : A002321(x) + A000720(x) = n!).


MATHEMATICA

s = 0; k = 1; Do[ While[s = s + MoebiusMu[k]; s + PrimePi[k] < n!, k++ ]; Print[k]; k++, {n, 10}] (* (Robert G. Wilson v_, Apr 30 2004 *)


CROSSREFS

Cf. A002321, A000720, A088004, A093772, A093773.
Sequence in context: A006359 A001553 A009247 * A151612 A012773 A012662
Adjacent sequences: A093771 A093772 A093773 * A093775 A093776 A093777


KEYWORD

nonn


AUTHOR

Labos Elemer, Apr 28 2004


EXTENSIONS

a(9) & a(10) from Robert G. Wilson v, Apr 30 2004
a(11)a(13) from Donovan Johnson, Jun 21 2012


STATUS

approved



