We show that a sum of powers on an arithmetic progression is the transform of a monomial by a differential operator and that its generating function is simply related to that of…

# Tag: Bernoulli polynomials

## The Faulhaber Conjecture Resolved Generalization to Powers Sums on Arithmetic Progressions

By comparing the formula giving odd powers sums of integers from Bernoulli numbers and the Faulhaber conjecture form of them, we obtain two recurrence relations for calculating the Faulhaber coefficients. Parallelly we…