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

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