A084144 -id:A084144 - cp's OEIS frontend

A049523 Smallest starting index for a run of exactly n consecutive equal digits in decimal expansion of Pi.

1, 25, 154, 1590, 17535, 763, 710101, 22931746, 24658602, 386980413, 15647738229, 368299898267, 2164164669333, 5758910552710, 46970519777308

Offset: 1

Harvey P. Dale

Digits 3,1,4,1,5,... are indexed 1,2,3,4,5,...
a(11) > 2*10^9. - M. F. Hasler, Mar 22 2017
a(12) > 99*10^9. - Giovanni Resta, Oct 02 2019
a(15) > 12*10^12. - Dmitry Petukhov, Dec 30 2019
a(16) > 50*10^12, a(17) = 28642224609576. - Dmitry Petukhov, Oct 30 2021

			See A084144 for an example.

Dave Andersen, Pi-Search Page
Yasumasa Kanada, Statistical Distribution Information, Home page, Computer Centre, The University of Tokyo.
Timothy Mullican, 50 trillion digits of pi
PI-world Site, The digits and Statistics for 12 trillion digits of PI [archived page]
James Taylor, Irrational Number Search Engine
Peter Trüb, 22.4 trillion digits of pi
Eric Weisstein's World of Mathematics, Pi Digits.
Index entries for sequences related to the number Pi

Cf. A049514, A049515, A049516, A049517, A049518, A049519, A049520, A049521, A049522.

Cf. A084144 (digit with this starting index).

More terms from Rick L. Shepherd, May 15 2003
Edited and a(10) (via Taylor's search engine) added by M. F. Hasler, Mar 21 2017
a(11) from Giovanni Resta, Oct 02 2019
a(12)-a(14) added by Dmitry Petukhov, Dec 30 2019
a(15) from Dmitry Petukhov, Oct 30 2021

A084145 First digit occurring consecutively at least n times in Pi's decimal expansion.

Original entry on oeis.org

3, 3, 1, 9, 9, 9, 3, 4, 7, 6, 1, 7, 8, 9, 6, 6, 6

Offset: 1

Rick L. Shepherd, May 23 2003

A simple variation on this sequence could ignore the 3 before the decimal point, making a(1)=1 instead.

			a(4)=a(5)=a(6) = 9 because there are (exactly) six consecutive 9's occurring with starting index A049522(4)=A049522(5)=A049522(6) = 763 and there are no runs of 4, 5, 6, or more consecutive equal digits having a smaller starting index.
The first occurrence of a run of at least seven consecutive equal digits occurs at starting index A049522(7) = 710101. The run consists of exactly seven 3's so a(7) = 3 [=A084144(7)] and also A049523(7) = 710101.

Dave Andersen, Pi-Search Page
Timothy Mullican, 50 trillion digits of pi
Peter Trüb, 22.4 trillion digits of pi
Eric Weisstein's World of Mathematics, Pi Digits

Cf. A049522 (starting index), A084144 (consecutively exactly n times), A049523 (starting index for A084144 runs).

a(10)-a(14) added by Dmitry Petukhov, Jan 13 2020

a(15)-a(17) from Dmitry Petukhov, Oct 30 2021

cp's OEIS Frontend

A049523 Smallest starting index for a run of exactly n consecutive equal digits in decimal expansion of Pi.

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