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On Sequences Gn Satisfying . . .

By Ricky X. F. Chen and Louis W. Shapiro

Abstract

In this note, we study a class of sequences Gn satisfying Gn = (d+2)Gn−1 −Gn−2. Note that the Fibonacci numbers Gn = F2n, n> 1 and Gn = F2n+1, n> 0 occur when d = 1 with suitable initial conditions. We present a general interpretation for this class of sequences in terms of ordered trees which we count by nodes and outdegrees. Further more, several other related integer sequences are also studied

Year: 2007
OAI identifier: oai:CiteSeerX.psu:10.1.1.189.24
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