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Math Help - sum involving binomials

  1. #1
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    Question sum involving binomials

    Is there a closed formula for the following sum involving binomials: $\sum_{s=t}^{t+d}\binom{s}{t}\frac{1}{s+1}$ where t,d>=0?
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  3. #3
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    Arrow Re: sum involving binomials

    gr8 many thanks, tom. but i'm looking for a formula that does not involve sums or (unresolved) hypergeometric series moreover, the wolfram solution contains the value of the Gamma function for negative integers
    Last edited by oberguru; June 5th 2012 at 06:41 AM.
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