Does there exist a formula for the sum of n^m numbers?

[~Death~]

is there a general formula for the sum of the first

n^m numbers where m is an integer

i know there exists one for the 1+2+...+n and the sum of squares and the sum of cubes

but what about higher powers? And what about a general formula

[Jame]

http://en.wikipedia.org/wiki/Faulhaber%27s_formula