A385936 -id:A385936 - cp's OEIS frontend

A081876 a(n) is the starting position of the second occurrence of a string of the initial n decimal digits of Pi in the decimal expansion of Pi.

9, 137, 2120, 3496, 88008, 176451, 25198140, 50366472, 1660042751, 7902183159, 260816757309, 1142905318634, 17475119650043, 43420162171515

Offset: 1

Harry J. Smith, Apr 12 2003

The digits 3 1 4 1 5 ... are labeled 0, 1, 2, 3, 4, ...
a(9) > 10^8. - Robert G. Wilson v, May 09 2003
a(15) > 50*10^12. - Dmitry Petukhov, Oct 27 2021

Alfred S. Posamentier & Ingmar Lehmann, A Biography of the World's Most Mysterious Number, Prometheus Books, Amherst, NY 2004, page 134.

Dave Andersen, The Pi-Search Page
Yasumasa Kanada Laboratory Home Page, Computer Centre, The University of Tokyo, Statistical Distribution Information.
Timothy Mullican, 50 trillion digits of pi
Harry J. Smith, Computing Pi [Broken link]
Harry J. Smith, Computing Pi
Peter Trüb, 22.4 trillion digits of pi
Pi search engine

Cf. A000796, A048940, A166028, A385936, A385937.

a(9) from Felix Fröhlich, Oct 04 2016
a(10)-a(11) from Andreas Stiller, Apr 08 2019
a(12) from Robert G. Wilson v, Oct 21 2004
a(13) from Dmitry Petukhov, Jan 27 2020
a(14) from Dmitry Petukhov, Oct 27 2021

A385937 a(n) is the starting position of the second occurrence of a string of the initial n binary digits of Pi in the binary expansion of Pi.

Original entry on oeis.org

1, 12, 16, 48, 77, 246, 246, 418, 418, 513, 513, 513, 513, 44458, 109628, 201504, 201504, 260229, 260229, 260229, 260229, 5195536, 5195536, 5195536, 16400799, 71861116, 71861116, 71861116, 88885576, 88885576, 465466168, 465466168, 2612839361, 2612839361, 5728737753, 5728737753, 141859217232

Offset: 1

Jason A. Doucette, Jul 12 2025

Digit positions are numbered starting at 0 for the first 1 of binary Pi = 11.001..., then position 1 for integer bit, and so on.
Terms a(1)..a(37) found in first 166096404750 binary digits.
a(38) > 1.66*10^11.

Jason Doucette, Pi Inside Pi, July 12, 2025.

Cf. A004601 (Pi in binary), A081876 (decimal Pi-inside-Pi), A385936 (hexadecimal Pi-inside-Pi).

cp's OEIS Frontend

A081876 a(n) is the starting position of the second occurrence of a string of the initial n decimal digits of Pi in the decimal expansion of Pi.

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