Faulhaber polynomials

Abstract

The process of summing of powers of natural numbers has been an interesting quest right from ancient time to modern time. German Mathematician Johann Faulhaber introduced wonderful ways to determine the sum of powers of natural numbers through explicit polynomials which were called today as “Faulhaber’s Polynomials”. In this paper, we try to obtain those polynomials by proving an important theorem and deducing from it.