  Leavitt path algebras associate to directed graphs a $\mathbb Z$-graded
algebra and in their simplest form recover the Leavitt algebras L(1,n). In this
note, we introduce iterated Leavitt path algebras associated to directed
weighted graphs which have natural $\oplus \mathbb Z$ grading and in their
simplest form recover the Leavitt algebras $L(n,k)$. We also characterize
Leavitt path algebras which are strongly graded.
