A family of meta-Fibonacci sequences defined by variable order recursions

Details A family of meta-Fibonacci sequences defined by variable order recursions A family of meta-Fibonacci sequences defined by variable order recursions

2005-08-26

arxiv.org/abs/math/0508522v2

Mathematics

Combinatorics

19 pages, this version includes a correction to Corollary 2.15

Scientific paper

We define a family of meta-Fibonacci sequences where the order of the of
recursion at stage n is a variable r(n), and the n^{th} term of a sequence is
the sum of the previous r(n) terms. For the terms of any such sequence, we give
upper and lower bounds which depend only on r(n).

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