Binomial coefficients and identities
Binomial, multinomial and generalized binomial coefficients and closed-form evaluation of finite sums built from them (alternating, reciprocal, harmonic-weighted, hypergeometric), including Apéry-like sequences such as Franel, Domb and Zagier numbers; q-binomials go to symmetric functions and q-analogues, Catalan-type numbers to Catalan numbers, Stirling-weighted sums to Stirling numbers.
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