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.

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A093776 Smallest integer at which the value of truncated Mertens function equals 2^n.

Original entry on oeis.org

6, 14, 26, 58, 142, 326, 734, 1713, 3713, 8057, 17869, 38985, 84046, 180010, 385846, 823687, 1737474, 3680099, 7755978, 16282918, 34142786, 71419857, 148960009, 310320958, 645191390, 1339363921, 2777235410, 5750237373, 11891042257, 24563702542, 50684981730
Offset: 1

Views

Author

Labos Elemer, May 03 2004

Keywords

Comments

It appears that the ratio of a(j+1)/a(j) is a bit larger than 2 and perhaps tends to 2. Why?

Crossrefs

Cf. A002321, A000720, A088004, A093772, A093773, A002110, A093774, A093775.

Programs

  • Mathematica
    s = 0; k = 1; Do[ While[s = s + MoebiusMu[k]; s + PrimePi[k] < 2^n, k++ ]; Print[k]; k++, {n, 20}]

Formula

Solutions to Min(x : A088004(x) = 2^n}, i.e. a(n) = Min(x: A002321(x) + A000720(x) = 2^n)

Extensions

a(21) - a(24) from Robert G. Wilson v, May 06 2004
a(25)-a(31) from Donovan Johnson, Jun 21 2012
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Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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