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A Vandermonde Identity for Stirling Numbers?
combinatorics
summation
binomial-coefficients
stirling-numbers
A Stirling number identity representing the second-order Eulerian numbers.
stirling-numbers
eulerian-numbers
Stirling Numbers and inverse matrices
combinatorics
matrices
stirling-numbers
Splitting $r^k (r+n)!$ as a sum of factorials
sequences-and-series
combinatorics
recurrence-relations
generating-functions
stirling-numbers
Compute $S_n=\sum\limits_{a_1,a_2,\cdots,a_n=1}^\infty \frac{a_1a_2\cdots a_n}{(a_1+a_2+\cdots+a_n)!}$
combinatorics
summation
stirling-numbers
open-problem
bell-numbers
Stirling numbers of second type [duplicate]
combinatorics
stirling-numbers
Formula for Stirling numbers expressed with Bernoulli numbers?
combinatorics
stirling-numbers
bernoulli-numbers
Evaluating $\lim_{n\to\infty}\frac{1}{n+1}(\omega+\nu)^{(n+1)}z^\nu{_2F_1}(1,\omega+\nu+1;n+2;1-z)$
sequences-and-series
gamma-function
hypergeometric-function
zeta-functions
stirling-numbers
Generating function with Stirling's numbers of the second kind
combinatorics
generating-functions
stirling-numbers
Combinatorial proof of a Stirling number identity.
combinatorics
stirling-numbers
Why are Stirling numbers of the first kind related to the number of permutations with $k$ cycles?
combinatorics
permutations
generating-functions
stirling-numbers
permutation-cycles
Sum of Stirling numbers of both kinds
combinatorics
stirling-numbers
Calculating the total number of surjective functions
combinatorics
functions
stirling-numbers
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