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Positivity of a certain sum of Stirling numbers
combinatorics
harmonic-numbers
stirling-numbers
eulerian-numbers
Compute the integral $\int_0^1\int_0^1\ldots\int_0^1 f(x_1 + x_2 + \ldots + x_n)\,dx_1\,dx_2\ldots dx_n $
integration
sequences-and-series
multivariable-calculus
eulerian-numbers
Difference of the Stirling cycle numbers and the Stirling set numbers
combinatorics
stirling-numbers
eulerian-numbers
Simplify binomial sum
summation
binomial-coefficients
eulerian-numbers
Polylogarithms of negative integer order
stirling-numbers
polylogarithm
eulerian-numbers
An associated Stirling number identity related to the second-order Eulerian numbers.
combinatorics
stirling-numbers
eulerian-numbers
A Stirling number identity representing the second-order Eulerian numbers.
stirling-numbers
eulerian-numbers
Power series of $x/(1-ae^{-x})$.
power-series
bernoulli-numbers
eulerian-numbers
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