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The inverse versine function and sums containing reciprocal central binomial coefficients and reciprocal Catalan numbers
Journal article   Peer reviewed

The inverse versine function and sums containing reciprocal central binomial coefficients and reciprocal Catalan numbers

Seán M. Stewart
International journal of mathematical education in science and technology, Vol.53(7), pp.1955-1966
01/06/2022
DOI: https://doi.org/10.1080/0020739X.2021.1912842

Abstract

Catalan numbers central binomial coefficients Fibonacci numbers inverse versine series Versine
Using the inverse of the once common but now largely forgotten versine function, series containing reciprocals of the central binomial coefficients and series containing reciprocals of the Catalan numbers are explored. In doing so we show how an alternative pathway to advanced problem solving can be achieved for a class of problems typical of those arising in classical analysis.

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