MathDB

The integers

c_{m,n}

with

m \geq 0, \geq 0

are defined by c_{m,0} \equal{} 1 \forall m \geq 0, c_{0,n} \equal{} 1 \forall n \geq 0, and c_{m,n} \equal{} c_{m\minus{}1,n} \minus{} n \cdot c_{m\minus{}1,n\minus{}1} \forall m > 0, n > 0. Prove that c_{m,n} \equal{} c_{n,m} \forall m > 0, n > 0.

Problem Statement