5 citations · 38 across the 26 of their papers we have counts for
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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…
Morphic words, Beatty sequences and integer images of the Fibonacci language
Michel Dekking
Morphic words are letter-to-letter images of fixed points of morphisms on finite alphabets. There are situations where these letter-to-letter maps do not occur naturally, but h…
Queens in exile: non-attacking queens on infinite chess boards
F. Michel Dekking, Jeffrey Shallit, N. J. A. Sloane
Number the cells of a (possibly infinite) chessboard in some way with the numbers 0, 1, 2, ... Consider the cells in order, placing a queen in a cell if and only if it would not at…
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…