Yang, Jin-Hua; Zhao, Feng-Zhen

Certain sums involving inverses of binomial coefficients and some integrals

J. Integer Seq. 10(8), Article 07.8.7, 11 p., electronic only (2007)

Summary

Summary: In this paper, we are concerned with sums involving inverses of binomial coefficients. We study certain sums involving reciprocals of binomial coefficients by using some integrals. Some recurrence relations related to inverses of binomial coefficients are obtained. In addition, we give the approximate values of certain sums involving the inverses of binomial coefficients.

Mathematics Subject Classification

11B65

Keywords/Phrases

binomial coefficient, integral, recurrence relation, generating function

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