Journal of Integer Sequences, Vol. 11 (2008), Article 08.3.8

On a Generalized Recurrence for Bell Numbers

Jacob Katriel
Department of Chemistry
Technion - Israel Institute of Technology
Haifa 32000


A novel recurrence relation for the Bell numbers was recently derived by Spivey, using a beautiful combinatorial argument. An algebraic derivation is proposed that allows straightforward q-deformation.

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(Concerned with sequences A000110 and A008277 .)

Received August 12 2008; revised version received September 8 2008. Published in Journal of Integer Sequences, September 10 2008.

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