cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A093774 #14 Mar 05 2024 16:31:31
%S A093774 1,6,21,93,698,5377,48198,483817,5231438,61160870,774696437,
%T A093774 10552025533,153901234789
%N A093774 Smallest integers at which the value of truncated Mertens function equals n!.
%C A093774 Observe that magnitude of a(n) is not far from that of (n-1)!.
%F A093774 Solutions to Min(x : A088004(x) = n!), i.e., a(n) = Min(x : A002321(x) + A000720(x) = n!).
%t A093774 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 *)
%Y A093774 Cf. A002321, A000720, A088004, A093772, A093773.
%K A093774 nonn,more
%O A093774 1,2
%A A093774 _Labos Elemer_, Apr 28 2004
%E A093774 a(9)-a(10) from _Robert G. Wilson v_, Apr 30 2004
%E A093774 a(11)-a(13) from _Donovan Johnson_, Jun 21 2012