Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
a(n) is the starting position of the first occurrence of a string of (at least) n '5's in the decimal expansion of Pi.
14

%I #23 Jan 29 2020 05:25:26

%S 4,130,177,24466,24466,244453,3517236,168743355,5050944965,7644991298,

%T 157675736216,1618922020656,7604259624808,7604259624808

%N a(n) is the starting position of the first occurrence of a string of (at least) n '5's in the decimal expansion of Pi.

%C This sequence has a(4) = a(5) = A096759(5) < A096759(4). As can be seen from a(1) = 4 (referring to the '5' in 3.1415...), position p means the string starts at the p-th digit after the decimal point. - _M. F. Hasler_, Apr 13 2019

%C a(11) > 99*10^9. - _Giovanni Resta_, Oct 02 2019

%C a(15) > 22*10^12. - _Dmitry Petukhov_, Jan 29 2020

%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 Cf. A096759 (variant), ...A050283, A050285... (analog for digits ..., 4, 6, ...).

%K nonn,base,more

%O 1,1

%A _Eric W. Weisstein_

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

%E Typo in a(10) corrected by _Giovanni Resta_, Oct 02 2019

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