Journal of Integer Sequences, Vol. 6 (2003), Article 03.1.8

A Common Generating Function for Catalan Numbers and Other Integer Sequences

G. E. Cossali
Università di Bergamo
24044 Dalmine
Italy

Abstract: Catalan numbers and other integer sequences (such as the triangular numbers) are shown to be particular cases of the same sequence array g(n,m)= (2n+m)!/(m!n!(n+1)!) . Some features of the sequence array are pointed out and a unique generating function is proposed.

(Concerned with sequences A000108 A000217 A034827 A001700 A002457 A002802 A002803 A007004 A024489 .)

Received October 6, 2002; revised version received April 17, 2003. Published in Journal of Integer Sequences May 2, 2003.