A family of continued fractions

作者：Angell David^*

来源：Journal of Number Theory, 2010, 130(4): 904-911.

DOI：10.1016/j.jnt.2009.12.003

• Generalised continued fractions
• Converge
• Rational

We investigate a one-parameter family of infinite generalised continued fractions. The fractions converge to rational values which can be explicitly evaluated. The sequences of numerators and denominators are already to be found in the Online Encyclopedia of Integer Sequences with reference to various topics - but not to continued fractions.

• 出版日期2010-4