Journal of Integer Sequences, Vol. 16 (2013), Article 13.8.6

Translated Whitney and r-Whitney Numbers: A Combinatorial Approach

Hacène Belbachir and Imad Eddine Bousbaa
USTHB Faculty of Mathematics
RECITS Laboratory, DG-RSDT
BP 32, El Alia 16111
Bab Ezzouar, Algiers


Using a combinatorial approach, we introduce the translated Whitney numbers. This seems to be more natural than to write a product of an arithmetical progression in terms of a power variable and conversely. We also extend our ideas to translated r-Whitney numbers of both kinds and to translated Whitney-Lah numbers.

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Received April 23 2013; revised versions received July 31 2013; September 10 2013. Published in Journal of Integer Sequences, October 12 2013.

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