## Combinatorial Identities: A Standardized Set of Tables Listing 500 Binomial Coefficient Summations |

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Abel Amer appears August Bateman Bernoulli binomial coefficients Carlitz Chung Combinatorial Identities complete concerning convolution correct define Definition difference Dixon Donald Knuth Dougall Duke Math equiv ERRATA Evaluation expansions expressed extension Fibonacci Quart finite FORM formula Franel function give given Grosswald Harry Bateman hypergeometric important Int kl integral interest Introduction inverse Jensen John Jour journals kind known literature manuscript Mathematica Mathematics Monthly Multiply Note operations polynomials powers present Problem Proc proofs relations Replace Reprinted result Reviews Riordan Solution of Problem Sparre Andersen standard STATISTICS Staver Stirling numbers suggested SUMMATIONS TABLE theorem theory transform University valid values ਨੂੰ