  We obtain a closed formula for the $v$-decomposition numbers
$d_{\lambda\mu}(v)$ arising from the canonical basis of the Fock space
representation of $U_v(\hat{\mathfrak{sl}}_e)$, where the partition $\lambda$
is obtained from $\mu$ by moving some nodes in its Young diagram, all of which
having the same $e$-residue. We also show that when these $v$-decomposition
numbers are evaluated at $v=1$, we obtain the corresponding decomposition
numbers for the Schur algebras and symmetric groups.
