A049522 - OEIS

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A049522

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

1, 25, 154, 763, 763, 763, 710101, 22931746, 24658602, 386980413, 15647738229, 368299898267, 2164164669333, 5758910552710, 28642224609577, 28642224609577, 28642224609577

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

Digits 3,1,4,1,5,... are indexed 1,2,3,4,5,...

a(11) > 2*10^9. - M. F. Hasler, Mar 21 2017

a(12) > 99*10^9. - Giovanni Resta, Oct 02 2019

a(15) > 12*10^12. - Dmitry Petukhov, Dec 30 2019

a(18) > 50*10^12. - Dmitry Petukhov, Oct 30 2021

LINKS

Table of n, a(n) for n=1..17.

Pi search engine (searches initial 2 x 10^9 digits of Pi)

Dave Andersen, Pi-Search Page (searches initial 2 x 10^8 digits of Pi)

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]

Peter Trüb, 22.4 trillion digits of pi

Eric Weisstein's World of Mathematics, Pi Digits.

CROSSREFS

Cf. A049514-A049523.

Compare A049523: the first run of six 9's occurs (with starting index 763) before any runs of exactly four or exactly five equal digits.

Cf. A084145 (digit with this starting index).

Sequence in context: A147059 A317067 A031211 * A084073 A049523 A232000

Adjacent sequences: A049519 A049520 A049521 * A049523 A049524 A049525

KEYWORD

nonn,base,more,changed

AUTHOR

Harvey P. Dale

EXTENSIONS

More terms from Rick L. Shepherd, May 22 2003

a(10) from Felix Fröhlich, Oct 06 2016

a(11) from Giovanni Resta, Oct 02 2019

a(12)-a(14) added by Dmitry Petukhov, Dec 30 2019

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

a(15)-a(17) had off-by-1 error, corrected by Mike Keith, Feb 03 2025

STATUS

approved