Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

A New Sequence and its some Congruence Properties

Version 1 : Received: 17 July 2018 / Approved: 18 July 2018 / Online: 18 July 2018 (09:31:49 CEST)
Version 2 : Received: 20 August 2018 / Approved: 20 August 2018 / Online: 20 August 2018 (18:50:20 CEST)

A peer-reviewed article of this Preprint also exists.

Zhang, W.; Lin, X. A New Sequence and Its Some Congruence Properties. Symmetry 2018, 10, 359. Zhang, W.; Lin, X. A New Sequence and Its Some Congruence Properties. Symmetry 2018, 10, 359.

Abstract

The aim of this paper is to use the elementary method and the properties of the second kind Stirling numbers to study the congruence properties of a new sequence, which is closely related to Fubini polynomials and Euler numbers, and give some interesting congruences for it. This solves a problem proposed by the first author at an unpublished paper.

Keywords

Fubini polynomials; Euler numbers; congruence; elementary method

Subject

Computer Science and Mathematics, Algebra and Number Theory

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