Journal of Integer Sequences, Vol. 17 (2014), Article 14.4.6

Some Formulas for a Family of Numbers Analogous to the Higher-Order Bernoulli Numbers


Guo-Dong Liu
Department of Mathematics
Huizhou University
Huizhou 516007, Guangdong
People’s Republic of China

H. M. Srivastava
Department of Mathematics and Statistics
University of Victoria
Victoria, BC V8W 3R4
Canada

Hai-Qing Wang
Department of Mathematics
Huizhou University
Huizhou 516007, Guangdong
People’s Republic of China

Abstract:

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.

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(Concerned with sequences A000367 A002445 A002657 A002790 A027641 A027642.)

Received October 23 2013; revised versions received February 15 2014; February 21 2014. Published in Journal of Integer Sequences, February 22 2014.

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