Journal of Integer Sequences, Vol. 27 (2024), Article 24.6.8

Elementary Functions Associated with Series Involving Reciprocals of Central Binomial Coefficients


Rimer Zurita
Carrera de Matematicas
Universidad Mayor de San Simon
Cochabamba
Bolivia

Abstract:

We study some combinatorial series involving reciprocals of generalized central binomial coefficients multiplied by linear terms. We rewrite these series in terms of elementary functions, such as polynomials, inverse trigonometric functions, inverse hyperbolic functions, and radicals. These results generalize some particular cases studied by Sprugnoli.


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(Concerned with sequence A000984.)


Received January 30 2024; revised versions received February 10 2024; May 22 2024; May 27 2024. Published in Journal of Integer Sequences, August 12 2024.


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