Integer Partition/Examples/4

Examples of Integer Partitions
The integer $4$ can be partitioned as follows:
 * $4$
 * $3 + 1$
 * $2 + 2$
 * $2 + 1 + 1$
 * $1 + 1 + 1 + 1$

The series $p \left({n}\right)$ begins:

... but beware -- this is not the sequence of prime numbers, as $p \left({7}\right) = 15$.

The sequence grows rapidly: $p \left({200}\right) = 3 \, 972 \, 999 \, 029 \, 288$ for example.