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A050279 a(n) is the starting position of the first occurrence of a string of at least n '0's in the decimal expansion of Pi. 20

%I #48 Apr 04 2024 10:00:58

%S 32,307,601,13390,17534,1699927,3794572,172330850,2542542102,

%T 8324296435,371247087572,1755524129973,3186699229890,6381820482331

%N a(n) is the starting position of the first occurrence of a string of at least n '0's in the decimal expansion of Pi.

%C At least up to a(10), also the starting position of the first occurrence of a string of exactly n '0's in the decimal expansion of Pi, cf. A096764. - _M. F. Hasler_, Mar 19 2017, edited Sep 03 2017

%C a(15) > 22*10^12. - _Dmitry Petukhov_, Jan 28 2020

%D Shigeru Kondo, calculation of Pi to 12.8 * 10^9 digits, using the program PiFast of Xavier Gourdon

%H David G. Andersen, <a href="http://www.angio.net/pi/piquery">The Pi-Search Page</a>.

%H Peter TrĂ¼b, <a href="https://pi2e.ch/blog/2017/03/10/pi-digits-download/">22.4 trillion digits of pi</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PiDigits.html">Pi Digits</a>

%Y See A096764 for another version.

%Y Cf. A000796: Decimal expansion (or digits) of Pi.

%Y First occurrence of exactly n times the same digit: A096755 (exactly n '1's), A096756, A096757, A096758, A096759, A096760, A096761, A096762, A096763 (exactly n '9's), A096764 (exactly n '0's).

%Y First occurrence of n times the same digit: A035117 (n '1's), A050281 (n '2's), A050282, A050283, A050284, A050286, A050287, A048940 (n '9's).

%Y First occurrence of concatenate(1,...,n): A121280 = A068987 - 1.

%K nonn,base,more,changed

%O 1,1

%A _Eric W. Weisstein_

%E More terms from Colin B. Martin (martinc(AT)ram.net.au), Nov 25 2001

%E Edited by _N. J. A. Sloane_ at the suggestion of _M. F. Hasler_, Aug 24 2007

%E Edited by _M. F. Hasler_, Mar 19 2017

%E Definition modified by _N. J. A. Sloane_, Sep 03 2017

%E a(11)-a(14) added by _Dmitry Petukhov_, Jan 12 2020

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Last modified April 16 05:35 EDT 2024. Contains 371697 sequences. (Running on oeis4.)