A093774 Smallest integers at which the value of truncated Mertens function equals n!.

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

Offset

1,2

Comments

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

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: A001553 A369556 A009247 * A151612 A344496 A012773

Adjacent sequences: A093771 A093772 A093773 * A093775 A093776 A093777

Keyword

nonn,more

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