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Positivity of a certain sum of Stirling numbers
combinatorics
harmonic-numbers
stirling-numbers
eulerian-numbers
Stirling numbers of the second kind: How to obtain a recurrence relation from a generating function?
recurrence-relations
generating-functions
stirling-numbers
Proof of Dobinski's formula for Bell numbers
combinatorics
stirling-numbers
Stirling numbers combinatorial proof
combinatorics
discrete-mathematics
inclusion-exclusion
combinatorial-proofs
stirling-numbers
The sum $\sum_{j=0}^n \binom{n}{j} \left\{ j \atop k \right\} x^j$
combinatorics
binomial-coefficients
recurrence-relations
generating-functions
stirling-numbers
Stirling number
combinatorics
stirling-numbers
Stirling numbers of the second kind on Multiset
combinatorics
discrete-mathematics
stirling-numbers
multisets
Counting set partitions of $\{1,2,...,n\}$ into exactly $k$ non-empty subsets with max size $m$
combinatorics
permutations
stirling-numbers
Proof concerning Stirling numbers of the first kind
combinatorics
stirling-numbers
Stirling number of the first kind: Proof of Recursion formula
combinatorics
stirling-numbers
recurrence-relations
Difference of the Stirling cycle numbers and the Stirling set numbers
combinatorics
stirling-numbers
eulerian-numbers
Recurrence for $q$-analog for the Stirling numbers?
combinatorics
recurrence-relations
stirling-numbers
q-analogs
About the Binomial Transform of Incomplete Bell Polynomials $\displaystyle \sum_{j=1}^k(-1)^{j-1}\binom{k}{j} B_{m,j}$?
combinatorics
stirling-numbers
bell-numbers
Challenging identity regarding Bell polynomials
combinatorics
summation
generating-functions
closed-form
stirling-numbers
Line up objects in each box after using Stirling number of second kind?
combinatorics
permutations
stirling-numbers
how does sqrt(n)/n equal 1/sqrt(n)?
asymptotics
stirling-numbers
transpose
Polylogarithms of negative integer order
stirling-numbers
polylogarithm
eulerian-numbers
An identity on Stirling number of the first and the second kind.
stirling-numbers
An asymptotic term for a finite sum involving Stirling numbers
real-analysis
sequences-and-series
asymptotics
stirling-numbers
An associated Stirling number identity related to the second-order Eulerian numbers.
combinatorics
stirling-numbers
eulerian-numbers
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