Geodesic
Moments of reciprocals of binomial coefficients
Journal of integer sequences, Tome 14 (2011) no. 7
We consider the distribution defined by the reciprocals of binomial coefficients and compute the corresponding moments. We find recurrence relations and the relative ordinary generating functions, which we give explicitly for the first six moments $(m = 0, 1, \dots , 5)$. Finally we give asymptotic approximations of the moments and of related quantities.
Classification : 60C05, 05A15, 62E15
Keywords: inverse binomial distribution, moments, generating functions 
@article{JIS_2011__14_7_a2,
     author = {Sprugnoli,  Renzo},
     title = {Moments of reciprocals of binomial coefficients},
     journal = {Journal of integer sequences},
     year = {2011},
     volume = {14},
     number = {7},
     zbl = {1275.60016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2011__14_7_a2/}
}
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Sprugnoli,  Renzo. Moments of reciprocals of binomial coefficients. Journal of integer sequences, Tome 14 (2011) no. 7. http://geodesic.mathdoc.fr/item/JIS_2011__14_7_a2/