A273128 - OEIS

%I #14 Apr 05 2024 11:10:14

%S 1,0,0,1,0,0,3,0,3,0,2,0,0,2,5,0,1,2,0,1,2,4,3,0,0,1,2,0,0,1,7,3,2,3,

%T 0,1,0,0,0,0,3,2,3,1,3,2,0,0,0,0,2,2,0,0,0,1,0,1,2,1,0,3,4,0,0,0,3,0,

%U 0,0,1,1,1,2,2,0,3,0,0,1,0,2,1,3,0,0,2,0

%N Continued logarithm expansion of Pi.

%H Jinyuan Wang, <a href="/A273128/b273128.txt">Table of n, a(n) for n = 1..10000</a>

%H Jon Borwein, Neil Calkin, Scott Lindstrom, and Andrew Mattingly, <a href="https://carmamaths.org/resources/jon/clogs.pdf">Continued logarithms and associated continued fractions</a>, preprint, 2016.

%o (PARI) default(realprecision, 10^5); p=Pi;

%o lista(nn) = {my(c); for(n=1, nn, print1(c=logint(p\1, 2), ", "); p=1/(p/2^c-1)); } \\ _Jinyuan Wang_, Feb 27 2020

%Y Cf. A000796, A001203.

%Y Cf. A273127 (similar for e).

%K nonn

%O 1,7

%A _Jeffrey Shallit_, May 16 2016