Generalized Bernoulli numbers and a formula of Lucas
  An overlooked formula of E. Lucas for the generalized Bernoulli numbers is proved using generating functions. This is then used to provide a new proof and a new form of a sum involving classical Bernoulli numbers studied by K. Dilcher. The value of this sum is then given in terms of the Meixner-Pollaczek polynomials. 
V. H. Moll and C. Vignat
math.NT