Some formulas for a family of numbers analogous to the higher-order Bernoulli numbers
J. Integer Seq. 17(4), Article 14.4.6, 18 p., electronic only (2014)
Summary
Summary: In this paper the authors establish several formulas and results for the $D$ numbers $D^{(k)}(2n)$ and $d^{(k)}(2n)$, which are analogous to the higher-order Bernoulli numbers. Some applications of these families of $D$ numbers are also presented.
Keywords/Phrases
Bernoulli polynomial, Bernoulli number, D number, D number of the second kind, nörlund number, central factorial number of the first kind, Catalan's constant, clausenian hypergeometric series
