Averaging Sequences, Deranged Mappings, and a Problem of Lampert and Slater

We answer a question posed by Lampert and Slater [7]. Consider a sequence of real numbers qn in the interval [0, 1] defined by q0 = 0, q1 = 1, and, for n 1, qn+1 equals an average of preceding terms in the sequence. The weights used in the average are provided by a triangular

• Type: Journal
• Year: 2000
• Where: JCT
• Authors: Neil J. Calkin, E. Rodney Canfield, Herbert S. Wilf
• Keywords: JCT 2000, Real Numbers, Slater