Journal of Integer Sequences, Vol. 9 (2006), Article 06.3.5

Converting Between Generalized Bell, Lah, Stirling, and Tanh Numbers


Giacomo Della Riccia
Department of Mathematics and Computer Science
University of Udine
Via delle Scienze 206
33100 Udine
Italy

Abstract: We define a Riordan triangle for generalized Bell numbers and we establish general identities connecting Lah, Stirling, Tanh and the generalized Bell numbers. Several familiar inverse relations converting between special sequences are shown to be particular cases of the general identities.

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Received February 2 2006; revised version received July 21 2006. Published in Journal of Integer Sequences July 21 2006.

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