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.

A060434 An inverse to Mertens's function: smallest k >= 2 such that Mertens's function |M(k)| (see A002321) is equal to n.

This page as a plain text file.
%I A060434 #17 Sep 02 2023 15:58:01
%S A060434 2,3,5,13,31,110,114,197,199,443,659,661,665,1105,1106,1109,1637,2769,
%T A060434 2770,2778,2791,2794,2795,2797,2802,2803,6986,6987,7013,7021,8503,
%U A060434 8506,8507,8509,8510,8511,9749,9822,9823,9830,9831,9833,9857,9861,19043
%N A060434 An inverse to Mertens's function: smallest k >= 2 such that Mertens's function |M(k)| (see A002321) is equal to n.
%C A060434 Related to the Riemann Hypothesis through the Titchmarsh Theorem.
%e A060434 M(1637) = 17 because the sum of Moebius mu(1) + mu(2) + ... + mu(1637) = 17.
%p A060434 with(numtheory): k := -1: s := 0: for n from 1 to 20000 do s := s+mobius(n): if (abs(s) > k) and (n>1) then k := abs(s): print(n, k); fi; od:
%t A060434 Reap[ For[ k = -1; s = 0; n = 1, n <= 20000, n++, s = s + MoebiusMu[n]; If[Abs[s] > k && n > 1, k = Abs[s]; Sow[n]]]][[2, 1]] (* _Jean-François Alcover_, Sep 04 2013, after Maple *)
%Y A060434 Essentially same as A051402 except for initial terms.
%K A060434 nonn,nice
%O A060434 0,1
%A A060434 Luis Rodriguez-Torres (ludovicusmagister(AT)yahoo.com), Apr 06 2001