|
%I #45 Feb 22 2020 22:14:38
%S 16,40,70,96,180,3664,24717,15492,84198,65489,3725,16974,41702,3788,
%T 5757,1958,14609,62892,44745,9385,169,40,70,96,180,3664,24717,15492,
%U 84198,65489,3725,16974,41702,3788,5757,1958,14609,62892,44745,9385,169,40,70,96
%N a(1) = 16. For n > 1, a(n) is the position of the first occurrence of a(n-1) after the decimal point in the decimal expansion of Pi.
%C After the first term, the sequence enters a repeating cycle of length 20.
%C According to the information on the website of Anderson, this sequence was discovered earlier by Dan Sikorsky.
%C First element a(1) = 61 leads after seven steps 61, 219, 716, 39, 43, 23, 16, ... into the same repeating cycle, same with a(1) = 71 after five steps 71, 39, 43, 23, 16, ... - _Martin Renner_, Feb 22 2020
%H D. Andersen, <a href="http://www.angio.net/pi/">Loop Sequences within Pi</a>, The Pi-Search Page.
%t L={16}; pi=ToString[ FromDigits@ RealDigits[Pi-3, 10, 10^5 ][[1]]]; Do[
%t AppendTo[L, StringPosition[ pi, ToString@ Last@ L, 1][[1, 1]]], {23}]; L (* _Giovanni Resta_, Jul 26 2015 *)
%Y Cf. A000796, A097614.
%K nonn,base
%O 1,1
%A _Felix Fröhlich_, Jul 26 2015
|
