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A093774 Smallest integers at which the value of truncated Mertens function equals n!. +0
3
1, 6, 21, 93, 698, 5377, 48198, 483817, 5231438, 61160870 (list; graph; listen)
OFFSET

1,2

COMMENT

Observe that magnitude of a(n) is not far from that of (n-1)!.

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}] (from Robert G. Wilson v Apr 30 2004)

CROSSREFS

Cf. A002321, A000720, A088004, A093772, A093773.

Sequence in context: A006359 A001553 A009247 this_sequence A151612 A012773 A012662

Adjacent sequences: A093771 A093772 A093773 this_sequence A093775 A093776 A093777

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Apr 28 2004

EXTENSIONS

a(9) & a(10) from Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 30 2004

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


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