  In 2011, W. Lang derived a novel, explicit formula for the sum of powers of
integers $S_k(n) = 1^k + 2^k + \cdots + n^k$ involving simultaneously the
Stirling numbers of the first and second kind. In this note, we first recall
and then slightly refine Lang's formula for $S_k(n)$. As it turns out, the
refined Lang's formula constitutes a special case of a well-known relationship
between the power sums, the elementary symmetric functions, and the complete
homogeneous symmetric functions. In addition, we provide several applications
of this general relationship.
