New posts in Generating Functions

Generating function of a parametrized binomial coefficient

Sum with Bernoulli polynomial

Sum with Bernoulli numbers

Expected maximum number of unpaired socks

How do I prove this combinatorial identity

Number of solutions to $x_1+x_2+\cdots+x_5=41$

Identity involving product of two binomial coefficients

How to solve this recurrence relation using generating functions: $a_n = 10 a_{n-1}-25 a_{n-2} + 5^n\binom{n+2}2$?

Drawing balls from an urn or counting certain posets

How to show that $\gcd(a_1,a_2,\cdots,a_k) = 1$ implies that there exist a non-negative solution to $\sum_{i=1}^{n}a_ix_i = n$ for large $n.$