Generalization of Binomial Coeffi cients to Numbers on the Nodes of Graphs

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Central Binomial Coeffi cients

The latter is an especially attractive characterization of the nth central binomial coefficient. Contrast this with the nth central trinomial coefficient, B(n), defined to be the largest coefficient of the polynomial (1 + x + x). There is no simple closed-form expression for B(n) [2]. It possesses recursion (n+ 1)B(n+ 1) = (2n+ 1)B(n) + 3nB(n− 1), B(0) = B(1) = 1 and asymptotics B(n) ∼ r 3 4π n...

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ژورنال

عنوان ژورنال: SSRN Electronic Journal

سال: 2016

ISSN: 1556-5068

DOI: 10.2139/ssrn.2732524