Central Binomial Coefficient

In mathematics the nth central binomial coefficient is defined in terms of the binomial coefficient by

They are called central since they show up exactly in the middle of the even-numbered rows in Pascal's triangle. The first few central binomial coefficients starting at n = 0 are:

1, 2, 6, 20, 70, 252, 924, 3432, 12870, 48620, … (sequence A000984 in OEIS)

Read more about Central Binomial Coefficient:  Properties

Famous quotes containing the word central:

    In a large university, there are as many deans and executive heads as there are schools and departments. Their relations to one another are intricate and periodic; in fact, “galaxy” is too loose a term: it is a planetarium of deans with the President of the University as a central sun. One can see eclipses, inner systems, and oppositions.
    Jacques Barzun (b. 1907)