Alternating Sums of the Reciprocals of Binomial Coefficients
Hacène Belbachir and Mourad Rahmani
University of Sciences and Technology Houari Boumediene
Faculty of Mathematics
P. O. Box 32
El Alia, Bab-Ezzouar 16111
Statistics & Mathematics Unit
Indian Statistical Institute
8th Mile Mysore Road
We investigate summations of the form
. We give closed formulae in terms of
the Akiyama-Tanigawa matrix. Recurrence formulae, ordinary generating
functions and some other results are also given.
Full version: pdf,
(Concerned with sequences
Received July 27 2011;
revised version received January 13 2012.
Published in Journal of Integer Sequences, January 14 2012.
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