Journal of Integer Sequences, Vol. 19 (2016), Article 16.1.5

Interesting Series Associated with Central Binomial Coefficients, Catalan Numbers and Harmonic Numbers

Hongwei Chen
Department of Mathematics
Christopher Newport University
Newport News, VA 23606


We establish various generating functions for sequences associated with central binomial coefficients, Catalan numbers and harmonic numbers. In terms of these generating functions, we obtain a large variety of interesting series. Our approach is based on manipulating the well-known generating function of the Catalan numbers.

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(Concerned with sequences A000045 A000108 A000984 A001008 A005408.)

Received September 16 2015; revised version received October 23 2015. Published in Journal of Integer Sequences, December 17 2015.

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