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A New Sequence and Its Some Congruence Properties
by
Wenpeng Zhang and
Xin Lin *
Wenpeng Zhang and
Xin Lin *
School of Mathematics, Northwest University, Xi’an 710127, China
*
Author to whom correspondence should be addressed.
Symmetry 2018, 10(9), 359; https://doi.org/10.3390/sym10090359
Received: 17 July 2018 / Revised: 20 August 2018 / Accepted: 20 August 2018 / Published: 24 August 2018
(This article belongs to the Special Issue Current Trends in Symmetric Polynomials with their Applications)
The aim of this paper is to study the congruence properties of a new sequence, which is closely related to Fubini polynomials and Euler numbers, using the elementary method and the properties of the second kind Stirling numbers. As results, we obtain some interesting congruences for it. This solves a problem proposed in a published paper.
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Keywords:
Fubini polynomials; Euler numbers; congruence; elementary method
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited
MDPI and ACS Style
Zhang, W.; Lin, X. A New Sequence and Its Some Congruence Properties. Symmetry 2018, 10, 359.
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