New posts in generating-functions

Generating functions for combinatorics

combinatorics generating-functions online-resources

Stars and bars with restriction of size between bars via generating functions.

combinatorics generating-functions

Given an exponential generating function, is it possible to isolate only the even terms?

generating-functions

Roots of unity filter, identity involving $\sum_{k \ge 0} \binom{n}{3k}$

combinatorics algebra-precalculus summation contest-math generating-functions

Generating function of $f(n) = C_n - \sum_{k=1}^{n-1}\binom{n}{k}f(n-k)$

combinatorics discrete-mathematics generating-functions catalan-numbers

Odd digits of $2^n$

sequences-and-series generating-functions

Generating functions for tail length and rho-length

generating-functions analytic-combinatorics

Bernoulli Numbers and Tangent numbers.

sequences-and-series combinatorics permutations power-series generating-functions

How to solve this nonlinear recurrence relation?

discrete-mathematics recurrence-relations generating-functions recursion

Combinatorial proof for two identities [duplicate]

combinatorics binomial-coefficients generating-functions

Number of solutions of $x_1+2x_2+\cdots+kx_k=n$?

combinatorics number-theory diophantine-equations generating-functions linear-diophantine-equations

Formal power series coefficient multiplication

generating-functions power-series

Any ideas on how I can prove this expression?

calculus combinatorics derivatives generating-functions

Generating function with Stirling's numbers of the second kind

combinatorics generating-functions stirling-numbers

What is the intuition behind generating functions? What makes them valuable?

combinatorics intuition generating-functions

When the product of dice rolls yields a square

linear-algebra combinatorics number-theory markov-chains generating-functions

prove $\ln(1+x^2)\arctan x=-2\sum_{n=1}^\infty \frac{(-1)^n H_{2n}}{2n+1}x^{2n+1}$

real-analysis calculus generating-functions closed-form harmonic-numbers

Connection between the Laplace transform and generating functions

ordinary-differential-equations recurrence-relations generating-functions laplace-transform

Exponential Generating Function For Derangements

combinatorics permutations generating-functions derangements

Finding generating function for the recurrence $a_0 = 1$, $a_n = {n \choose 2} + 3a_{n - 1}$

combinatorics sequences-and-series generating-functions