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A060434 An inverse to Mertens function: smallest k >= 2 such that Mertens's function |M(k)| (see A002321) is equal to n. 1
2, 3, 5, 13, 31, 110, 114, 197, 199, 443, 659, 661, 665, 1105, 1106, 1109, 1637, 2769, 2770, 2778, 2791, 2794, 2795, 2797, 2802, 2803, 6986, 6987, 7013, 7021, 8503, 8506, 8507, 8509, 8510, 8511, 9749, 9822, 9823, 9830, 9831, 9833, 9857, 9861, 19043 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Related to the Riemann Hypothesis through the Titchmarsh Theorem.

LINKS

Table of n, a(n) for n=0..44.

EXAMPLE

M(1637) = 17 because the sum of Moebius mu(1) + mu(2) + ... + mu(1637) = 17.

MAPLE

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:

MATHEMATICA

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-Fran├žois Alcover, Sep 04 2013, after Maple *)

CROSSREFS

Essentially same as A051402 except for initial terms.

Sequence in context: A108515 A167495 A041519 * A175093 A072999 A233515

Adjacent sequences:  A060431 A060432 A060433 * A060435 A060436 A060437

KEYWORD

nonn,nice

AUTHOR

Luis Rodriguez-Torres (ludovicusmagister(AT)yahoo.com), Apr 06 2001

STATUS

approved

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Last modified October 22 22:34 EDT 2019. Contains 328335 sequences. (Running on oeis4.)