Journal of Integer Sequences, Vol. 14 (2011), Article 11.4.3

On the Central Coefficients of Bell Matrices

Paul Barry
School of Science
Waterford Institute of Technology


We use the Lagrange inversion theorem to characterize the central coefficients of matrices in the Bell subgroup of the Riordan group of matrices. We give examples of how by using different means of calculating these coefficients we can deduce the generating functions of interesting sequences.

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(Concerned with sequences A000045 A000108 A001002 A002878 A007318 A007440 A033184 A038112 A078531 A091527 A104506 A174687.)

Received June 29 2010; revised version received November 11 2010; March 22 2011. Published in Journal of Integer Sequences, March 26 2011.

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