Geodesic
Interesting series associated with central binomial coefficients, Catalan numbers and harmonic numbers
Journal of integer sequences, Tome 19 (2016) no. 1.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 11B83, 05A10
Keywords: central binomial coefficient, Catalan number, harmonic number, generating function, interesting series 
@article{JIS_2016__19_1_a2,
     author = {Chen, Hongwei},
     title = {Interesting series associated with central binomial coefficients, {Catalan} numbers and harmonic numbers},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {19},
     number = {1},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2016__19_1_a2/}
}
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Chen, Hongwei. Interesting series associated with central binomial coefficients, Catalan numbers and harmonic numbers. Journal of integer sequences, Tome 19 (2016) no. 1. http://geodesic.mathdoc.fr/item/JIS_2016__19_1_a2/