New posts in Analytic Combinatorics

Deriving exponential generating function for central trinomial coefficients

Prove that $\sum\limits_{j=k}^n\,(-1)^{j-k}\,\binom{j}{k}\,\binom{2n-j}{j}\,2^{2(n-j)}=\binom{2n+1}{2k+1}$.

Generating functions for tail length and rho-length

Generating Functions and Linear Diophantine Inequalities