Asymptotics of the d'Arcais Numbers at Small $k$

Shannon Starr

The d'Arcais numbers are the triangular array $\{A(2,n,k):n=0,1,\dots ,k=0,\dots ,n\}$, such that $\sum_{n=0}^{\infty} \sum_{k=0}^{n} A(2,n,k) x^k z^n/n! = ((z;z)_{\infty})^…