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

1,7

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.

Prog

(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

Crossrefs

Cf. A000796, A001203.

Cf. A273127 (similar for e).

Sequence in context: A055240 A174559 A334040 * A183035 A115634 A010674

Adjacent sequences: A273125 A273126 A273127 * A273129 A273130 A273131

Keyword

nonn

Author

Jeffrey Shallit, May 16 2016

Status

approved