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co.combinatorics - What does the generating function $x/(1 - e^{-x})$ count? - MathOverflow
https://mathoverflow.net/questions/9220/what-does-the-generating-function-x-1-e-x-count
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bernoulli-numbers
generating-functions
hopf-algebras
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Let $x$ be a formal (or small, since the function is analytic) variable, and consider the power series $$ A(x) = \frac{x}{1 - e^{-x}} = \sum_{m=0}^\infty \left( -\sum_{n=1}^\infty \frac{(-x)^n}{(n+...
