A New Binary BBP-type Formula for $\sqrt 5\,\log\phi$
Number Theory
2016-03-16 v1
Abstract
Hitherto only a base 5 BBP-type formula is known for , where \mbox{}, the golden ratio, ( i.e. Formula 83 of the April 2013 edition of Bailey's Compendium of \mbox{BBP-type} formulas). In this paper we derive a new binary BBP-type formula for this constant. The formula is obtained as a particular case of a BBP-type formula for a family of logarithms.
Keywords
Cite
@article{arxiv.1603.04561,
title = {A New Binary BBP-type Formula for $\sqrt 5\,\log\phi$},
author = {Kunle Adegoke},
journal= {arXiv preprint arXiv:1603.04561},
year = {2016}
}