A273128 Continued logarithm expansion of Pi.

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, 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, 0, 0, 1, 1, 1, 2, 2, 0, 3, 0, 0, 1, 0, 2, 1, 3, 0, 0, 2, 0

Offset: 1

Author

Jeffrey Shallit, May 16 2016

Keywords

• nonn

Links

• Jinyuan Wang, Table of n, a(n) for n = 1..10000
• Jon Borwein, Neil Calkin, Scott Lindstrom, and Andrew Mattingly, Continued logarithms and associated continued fractions, preprint, 2016.

Crossrefs

Cf. A000796, A001203.

Cf. A273127 (similar for e).

Programs

PARI

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