Conversely, (4) shows that any integer-valued polynomial is an integer linear combination of these binomial coefficient polynomials. Source: Internet
Example The integer-valued polynomial 3t(3t + 1)/2 can be rewritten as : Identities involving binomial coefficients The factorial formula facilitates relating nearby binomial coefficients. Source: Internet
There is a convention among engineers, climatologists, and others to reserve “negative binomial” in a strict sense or “Pascal” for the case of an integer-valued stopping-time parameter r, and use “Polya” for the real-valued case. Source: Internet