# Errata for An Invitation to Analytic Combinatorics

Below is the known errata for An Invitation to Analytic Combinatorics: From One to Several Variables by Stephen Melczer – see the textbook website for the textbook manuscript and associated computer algebra worksheets.

Please email any errors you notice to the author.

• Example 3.12: The final term in the polynomial $P$ should be negated. Corrected, the polynomial is $P = z − xy − (x + y + xy)z {\color{red}- xz^2}$.

• Example 5.6: The asymptotic expansion at $\sigma$ has errors in its first and fourth terms. Corrected, the asymptotic contribution of $\sigma$ is $$\Phi_{\sigma} = 4^n \left( \frac{{\color{red}4}}{\pi n} - \frac{6}{\pi n^2}+\frac{19}{2\pi n^3} - \frac{{\color{red}63}}{4\pi n^4} + O\left(\frac{1}{n^5}\right)\right).$$ The final asymptotic expansion of $f_{n,n,n}$ in the text is correct as presented.

• Example 5.7: There is an extra factor of $s$ in the denominator of leading constant. The leading constant should read $(rn)!(sn)!/\sqrt{2 \pi ae^{-a}(be^{-b}+ae^{-a}-ab)}$