A formula on Stirling numbers of the second kind and its application to the unstable $K$-theory of stunted complex projective spaces

Osamu Nishimura

A formula on Stirling numbers of the second kind $S(n,k)$ is proved. As a corollary, for odd $n$ and even $k$, it is shown that $k!S(n,k)$ is a positive multiple of the greatest…