On a Matrix Arising from a Family of Iterated Self-Compositions
Department of Mathematical Sciences
University of Essex
Colchester CO4 3SQ
We obtain here a number of results associated with an infinite matrix
arising from a family of iterated self-compositions. This matrix
exhibits a rich structure, and our results include an intricate
property of its rows, a characterization of its entries in terms of
their Zeckendorf representations, and a link between its columns and a
mathematical object known as the Fibonacci word.
Full version: pdf,
(Concerned with sequences
Received March 27 2015; revised versions received October 25 2015; November 28 2015; December 11 2015.
Published in Journal of Integer Sequences, December 16 2015.
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