  In \cite{Choi-Jo}, the $am+b$ ($0\leq b<a$) subscripted Tribonacci numbers
are studied. This work is devoted to study a new generalization of Fibonacci
numbers called Padovan numbers. In particular, the $am+b$ subscripted Padovan
numbers will be expressed by three $a$ step apart Padovan numbers for any
$0\leq b<a$, where $a\in \mathbb{Z}$.
