Geodesic
Interesting series associated with central binomial coefficients, Catalan numbers and harmonic numbers
Journal of integer sequences, Tome 19 (2016) no. 1
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},
     year = {2016},
     volume = {19},
     number = {1},
     zbl = {1364.11061},
     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/