Abstract
Using one known series, We can structure several new series of reciprocals of central binomial coefficients by splitting terms ,these new created denominator of series contain 1 to 4 factors of binomial coefficients. As the result of splitting terms, some identities of series of numbers values of reciprocals of binomial coefficients are given. The method of splitting terms offered in this paper is a new combinatorial an analysis way and elementary method to create new series.
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