New posts in generating-functions

Find the number of all subsets of $\{1, 2, \ldots,2015\}$ with $n$ elements such that the sum of the elements in the subset is divisible by 5

combinatorics contest-math generating-functions

"Matching coefficients" in generating functions approach

sequences-and-series convergence-divergence generating-functions

Generating function of $\binom{3n}{n}$ [duplicate]

combinatorics generating-functions lagrange-inversion

How do I prove this combinatorial identity

combinatorics induction binomial-coefficients generating-functions combinatorial-proofs

How do you prove the Cauchy product (multiplication) of two infinite power series (generating functions) which have different exponents/indices?

combinatorics complex-analysis power-series generating-functions cauchy-product

Splitting $r^k (r+n)!$ as a sum of factorials

sequences-and-series combinatorics recurrence-relations generating-functions stirling-numbers

Ordinary generating function for $\binom{3n}{n}$

calculus sequences-and-series binomial-coefficients generating-functions

Solving the recursion $3a_{n+1}=2(n+1)a_n+5(n+1)!$ via generating functions

recurrence-relations power-series generating-functions

How to show $\sum_{k=0}^{n}\binom{n+k}{k}\frac{1}{2^k}=2^{n}$

combinatorics binomial-coefficients generating-functions combinatorial-proofs

What function satisfies $F'(x) = F(2x)$?

combinatorics reference-request generating-functions delay-differential-equations

How to get from Chebyshev to Ihara?

graph-theory generating-functions zeta-functions chebyshev-polynomials

Finding the Moment Generating function of a Binomial Distribution

statistics summation generating-functions binomial-theorem moment-generating-functions

Algorithm for computing Hadamard product of two rational generating functions

generating-functions hadamard-product

How to compute the coefficients of this generating function

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

Stirling Numbers of the First Kind - a direct derivation

combinatorics generating-functions

Generating functions and the Riemann Zeta Function

generating-functions analytic-number-theory riemann-zeta

Generating function for binomial coefficients $\binom{2n+k}{n}$ with fixed $k$

combinatorics binomial-coefficients generating-functions

Number of connected graphs on labeled vertices, counted according to parity

combinatorics graph-theory generating-functions

A Binomial Identity simplify

complex-analysis binomial-coefficients generating-functions binomial-theorem

If $\sum\limits_{n=1}^{\infty}\frac{1}{p(n)}\in\mathbb{Q}$, is $\sum\limits_{n=1}^{\infty}\frac{n}{p(n)}\in\mathbb{Q}$?

sequences-and-series complex-analysis number-theory polynomials generating-functions