  Based on the quantum violation of suitable $n$-local inequality in a star
network for arbitrary $m$ inputs, we demonstrate the sharing of nonlocality in
the network. Such a network features an arbitrary $n$ number of independent
sources, $n$ edge parties, and a central party. Each party receives arbitrary
$m$ inputs. We consider two different types of sharing of nonlocality in the
network. i) The symmetric case - when the sharing of nonlocality is considered
across all edge parties. ii) The asymmetric case - when the sharing of
nonlocality is considered across only one edge party. For simplicity, we first
consider the bilocal scenario $(n=2)$ with three inputs $m=3$ and demonstrate
that while in the symmetric case at most two sequential observers can share
nonlocality, in the asymmetric case at most four sequential observers can share
nonlocality. We extend the study to $n$-local scenario by assuming each party
receives three inputs and show that in the symmetric case the result remains
the same for any $n$, but in the asymmetrical case, an unbounded number of
sequential observers can share nonlocality across one edge for a sufficiently
large value of $n$. We further extend our result for arbitrary $m$ input in
$n$-local scenario. We demonstrate that for $m\geq 4$, in the symmetric case at
most one sequential observer can share nonlocality irrespective of the value of
$n$. For the asymmetric case, we analytically show that there exists $n(k)$ for
which an arbitrary $k$ number of sequential observers can share the nonlocality
across one edge. The optimal quantum violation of $m$-input $n$-local
inequality is derived through an elegant SOS approach without specifying the
dimension of the quantum system.
