Certain Sums Involving Inverses of Binomial Coefficients and Some Integrals
Jin-Hua Yang
Zhoukou Normal University
Zhoukou, 466001
China
Feng-Zhen Zhao
Department of Applied Mathematics
Dalian University of Technology
Dalian, 116024
China
Abstract:
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.
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Received March 15 2007;
revised version received August 16 2007.
Published in Journal of Integer Sequences, August 16 2007.
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