Solutions of certain meta-Fibonacci recurrences

نویسندگان

چکیده

We investigate the solutions of certain meta-Fibonacci recurrences form $f(n)=f(n-f(n-1))+f(n-2)$ for various sets initial conditions. When $f(n)=1$ $n\leq 1$, we prove that resulting integer sequence is closely related to function c

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ژورنال

عنوان ژورنال: Acta Arithmetica

سال: 2023

ISSN: ['0065-1036', '1730-6264']

DOI: https://doi.org/10.4064/aa220613-19-1