\begin{definition}[Definition:Pea Pattern]
A '''pea pattern''' is a generic term use for any one of a number of similar sequences.
The first term $p_0$ is an arbitrary integer.
$p_n$ is formed from $p_{n - 1}$ as follows.
First, the distinct digits in $p_{n - 1}$ are counted, and the number of each is noted.
The count of each distinct digit is concatenated with an instance of the digit itself.
Then those concatenations are themselves concatenated into $p_n$ according to a predetermined order.
\end{definition}