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Continued logarithm expansion of e.
2

%I #15 Apr 05 2024 11:10:14

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

%T 0,1,2,0,1,2,0,3,6,1,0,3,5,1,3,7,0,1,2,0,1,0,0,1,3,5,1,0,1,0,0,1,5,0,

%U 2,1,1,1,3,0,1,1,3,0,5,0,0,0,3,2,0,2,1,0

%N Continued logarithm expansion of e.

%H Jinyuan Wang, <a href="/A273127/b273127.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); e=exp(1);

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

%Y Cf. A001113, A003417.

%Y Cf. A273128 (similar for Pi).

%K nonn

%O 1,6

%A _Jeffrey Shallit_, May 16 2016