Geodesic
Certain sums involving inverses of binomial coefficients and some integrals
Journal of integer sequences, Tome 10 (2007) no. 8.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 11B65
Keywords: binomial coefficient, integral, recurrence relation, generating function 
@article{JIS_2007__10_8_a4,
     author = {Yang, Jin-Hua and Zhao, Feng-Zhen},
     title = {Certain sums involving inverses of binomial coefficients and some integrals},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {10},
     number = {8},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2007__10_8_a4/}
}
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Yang, Jin-Hua; Zhao, Feng-Zhen. Certain sums involving inverses of binomial coefficients and some integrals. Journal of integer sequences, Tome 10 (2007) no. 8. http://geodesic.mathdoc.fr/item/JIS_2007__10_8_a4/