A Recurrence Related to the Bell Numbers

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2012Publisher:Walter de Gruyter GmbHJournal:Integers, volume 12 (issn: 1867-0652, eissn: 1867-0652,

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Authors: Toufik Mansour; Mark Shattuck 0001;

doi: 10.1515/integ.2011.108

A Recurrence Related to the Bell Numbers

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Abstract

Abstract.In this paper, we solve a general, four-parameter recurrence by both algebraic and combinatorial methods. The Bell numbers and some closely related sequences are solutions to the recurrence corresponding to particular choices of the parameters.

Related Organizations

University of Haifa
Israel

Keywords

recurrence, Partitions of sets, Bell and Stirling numbers, Stirling number, Bell number, combinatorial proof

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