# Partitions With No Ones

A partition of is an expression of as a sum of not necessarily distinct positive integers, where the order does not matter. Note that $$n = n$$ counts as a partition of $$n$$.

Let $$C'_n$$ the number of partitions of $$n$$ with no part equal to 1.

For instance, $$C'_8 = 7$$ because $8 = 8 = 6 + 2 = 5 + 3 = 4 + 4 \\ = 4 + 2 + 2 = 3 + 3 + 2 = 2 + 2 + 2 + 2.$ Find $$C'_{50}$$.

×