5 citations · 38 across the 26 of their papers we have counts for
6 papers · 1 filter
Counting base phi representations
Michel Dekking, Ad van Loon
In a base phi representation a natural number is written as a sum of powers of the golden mean . There are many ways to do this. How many? Even if the number of powers of is…
On the representation of the natural numbers by powers of the golden mean
Michel Dekking, Ad van Loon
In a base phi representation a natural number is written as a sum of powers of the golden mean . There are many ways to do this. Well known is the standard representation, intro…
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…
The sum of digits function of the base phi expansion of the natural numbers
Michel Dekking
In the base phi expansion any natural number is written uniquely as a sum of powers of the golden mean with digits 0 and 1, where one requires that the product of two consecutive d…
Base phi representations and golden mean beta-expansions
Michel Dekking
In the base phi representation any natural number is written uniquely as a sum powers of the golden mean with digits 0 and 1, where one requires that the product of two consecutive…
A remarkable sequence related to and
Wieb Bosma, Michel Dekking, Wolfgang Steiner
We prove that five ways to define entry A086377 in the On-Line Encyclopedia of Integer Sequences do lead to the same integer sequence.