5 citations · 38 across the 26 of their papers we have counts for
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math.NT2020★ 4 cited
Hidden automatic sequences
J. -P. Allouche, F. M. Dekking, M. Queffélec
An automatic sequence is a letter-to-letter coding of a fixed point of a uniform morphism. More generally, we have morphic sequences, which are letter-to-letter codings of fixed po…
math.CO2020★ 2 cited
The structure of Zeckendorf expansions
Michel Dekking
In this paper we classify the Zeckendorf expansions according to their digit blocks. It turns out that if we consider these digit blocks as labels on the Fibonacci tree, then the n…
math.CO2020
The sum of digits functions of the Zeckendorf and the base phi expansions
Michel Dekking
We consider the sum of digits functions for both base phi, and for the Zeckendorf expansion of the natural numbers. For both sum of digits functions we present morphisms on infinit…