In this post, we prove the closed form of a nonlinear recurrence corresponding to the count of binary trees with nodes.
Posts Tagged ‘ combinatorics ’
Suppose that we are given the alphabet ; a word of length : , is an ordered -tuple whose elements all came from . For example, a word of length in might be the tuple , which we will hereon denote as . For some natural number , how many words of length are there that contains exactly zeros?