Connection between ordinary multinomials, Fibonacci numbers, Bell polynomials and discrete uniform distribution.

Abstract

Using an explicit computable expression of ordinary multinomials, we
\nestablish three remarkable connections, with the q-generalized Fibonacci sequence,
\nthe exponential partial Bell partition polynomials and the density of
\nconvolution powers of the discrete uniform distribution. Identities and various
\ncombinatorial relations are derived.