A Power Series

whose Coefficients give the Sequence , , ....
The *Mathematica*
(Wolfram Research, Champaign, IL) function `DiscreteMath`RSolve`PowerSum`
gives the generating function of a given expression, and `ExponentialPowerSum` gives the exponential generating function.

Generating functions for the first few powers are

*See also *Moment-Generating Function, Recurrence Relation

**References**

Wilf, H. S. *Generatingfunctionology, 2nd ed.* New York: Academic Press, 1990.

© 1996-9 *Eric W. Weisstein *

1999-05-25