A two-sided Faulhaber-like formula involving Bernoulli polynomials Articles uri icon

publication date

  • March 2020

start page

  • 41

end page

  • 44

issue

  • 1

volume

  • 358

International Standard Serial Number (ISSN)

  • 1631-073X

Electronic International Standard Serial Number (EISSN)

  • 1778-3569

abstract

  • We give a new identity involving Bernoulli polynomials and combinatorial numbers. This provides, in particular, a Faulhaber-like formula for sums of the form 1m(n − 1)m + 2 m(n − 2)m + ··· + (n − 1)m1 m for positive integers m and n.

keywords

  • bernoulli polynomials; faulhaber formula