Journal of Integer Sequences, Vol. 14 (2011), Article 11.7.8

Moments of Reciprocals of Binomial Coefficients

Renzo Sprugnoli
Dipartimento di Sistemi e Informatica
Viale Morgagni 65
54134 Firenze


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, ..., 5). Finally we give asymptotic approximations of the moments and of related quantities.

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(Concerned with sequence A003149.)

Received March 19 2011; revised version received July 18 2011. Published in Journal of Integer Sequences, September 5 2011.

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