A035117 a(n) is the starting position of the first occurrence of a string of at least n 1's in the decimal expansion of Pi.

1, 94, 153, 12700, 32788, 255945, 4657555, 159090113, 812432526, 3961184001, 15647738228, 1041032609981, 3907688331257, 68635742334547

Offset: 1

Author

Leonardo Bitran (lbitran(AT)reuna.cl)

Keywords

• nonn
• base
• more

Comments

Presently identical to A096755, which is the first occurrences of exactly n 1's in the digits of Pi. Will differ as soon as there's some a(n) = a(n+1) and equivalently, A035117(n) > A035117(n+1). - M. F. Hasler, Mar 17 2017

Links

• David G. Andersen, The Pi-Search Page.
• PI-world Site, The digits and Statistics for 12 trillion digits of PI [archived page]
• Eric Weisstein's World of Mathematics, Pi Digits.
• Yasumasa Kanada Laboratory Home Page, Computer Centre, The University of Tokyo, Statistical Distribution Information

Crossrefs

Cf. A000796 (decimal expansion (or digits) of Pi).

Cf. A035117 (this), A050281 (n '2's), A050282, A050283, A050284, A050286, A050287, A048940 (n '9's).

Cf. A096755 (exactly n '1's), A096756, A096757, A096758, A096759, A096760, A096761, A096762, A096763 (exactly n '9's), A050279 (exactly n '0's).

Cf. A121280 = A068987 - 1 (position of "123...n" in Pi's decimals).

Cf. A176341 (first occurrence of n in Pi's digits).

Extensions

More terms from Colin Martin (cbmartin(AT)tpg.com.au), Mar 03 2002

Edited by N. J. A. Sloane at the suggestion of Andrew S. Plewe, May 27 2007

Edited, after re-establishing A096755, by M. F. Hasler, Mar 17 2017

a(11) from Giovanni Resta, Sep 30 2019

a(12) from Yasumasa Kanada Laboratory, 2002 and a(13) from Shigeru Kondo, 2011, added by Dmitry Petukhov, Dec 27 2019

a(14) from Dmitry Petukhov, Sep 19 2022