Journal of Integer Sequences, Vol. 20 (2017), Article 17.2.3

The Dual of Spivey’s Bell Number Identity from Zeon Algebra

Antônio Francisco Neto
DEPRO, Escola de Minas
Campus Morro do Cruzeiro, UFOP
35400-000 Ouro Preto MG


In this paper, we give a new short proof of the dual of Spivey's Bell number identity due to Mező. Our approach follows from basic manipulations involving a fundamental identity representing factorials in the Zeon algebra. This work, along with a previous one due to the author and dos Anjos, shows that Spivey's and Mező's identities have at their root a common underlying algebraic origin.

Full version:  pdf,    dvi,    ps,    latex    

(Concerned with sequences A000142 A132393.)

Received August 1 2016; revised version received November 26 2016. Published in Journal of Integer Sequences, December 27 2016.

Return to Journal of Integer Sequences home page