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Series with Central Binomial Coefficients, Catalan Numbers, and Harmonic Numbers (journal paper)

Year: 
2012
Researcher(s): 
Khristo Boyadzhiev
Institution: 
Ohio Northern University
Discipline: 
Mathematics

We present several generating functions for sequences involving the central binomial coefficients and the harmonic numbers. In particular, we obtain the generating functions for the sequences C(2n,n)*H_n, C(2n,n)*(1/n)*H_n, C(2n,n)(1/(n+1))*H_n and C(2n,n)*n^m. The technique is based on a special Euler-type series transformation formula.From http://www.emis.ams.org/journals/JIS/VOL15/Boyadzhiev/boyadzhiev6.pdf

Journal of Integer Sequences, Vol. 15, Article 12.1.7 (2012)