A084235 Smallest k such that |M(k)| = 2^n, where M(x) is Mertens's function A002321.

1, 5, 31, 199, 1637, 8507, 24110, 95961, 355541, 1786062, 6473791, 30649362, 109851909, 456774199, 2589994747, 7613644886, 37725066313, 108500046711

Offset

1,2

References

Karl Sabbagh, The Riemann Hypothesis, The Greatest Unsolved Problem in Mathematics, Farrar, Straus and Giroux, New York, 2002, page 191.

Links

Table of n, a(n) for n=1..18.

Formula

a(n) = A051402(2^n). - Amiram Eldar, May 06 2024

Mathematica

i = s = 0; Do[ While[ Abs[s] < 2^n, s = s + MoebiusMu[i]; i++ ]; Print[i - 1], {n, 0, 25}]

Crossrefs

Cf. A002321, A051402, A084234.

Sequence in context: A108079 A164038 A260782 * A356290 A349301 A288688

Adjacent sequences: A084232 A084233 A084234 * A084236 A084237 A084238

Keyword

nonn,more

Author

Robert G. Wilson v, May 13 2003

Extensions

Definition corrected by L. Edson Jeffery, Mar 18 2013

a(15)-a(18) by Ashley Jordan and Luke March, Jul 22 2014

Status

approved