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Variants of the Filbert Matrix

open access: yes, 2013
A variation of the Filbert matrix from [1] is introduced, which has one additional Fibonacci factor in the numerator. We also introduce its Lucas counterpart by taking Lucas numbers instead of Fibonacci numbers in a similar manner.
Kılıç, Emrah, Prodinger, Helmut
core  

Fibonacci along even powers is (almost) realizable [PDF]

open access: yes
An integer sequence is called realizable if it is the count of periodic points of some map. The Fibonacci sequence (F_n) does not have this property, and the Fibonacci sequence sampled along the squares (F_(n^2)) also does not have this property.
Ward T, Moss P
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