  We show that the number of reduced Young walls of type $D_{n+1}^{(2)}$ with
$m$ blocks is independent of $n$ and the same as the number of strict
partitions of $m$. Thus the principally specialized character
$\chi_n^{\Lambda_0}(t)$ of $V(\Lambda_0)$ over $U_q(D_{n+1}^{(2)})$ can be
interpreted as a generating function for strict partitions. Hence we obtain an
infinite family of generalizations of Euler's partition identity.
