Geodesic
On a strange recursion of Golomb
The electronic journal of combinatorics, Tome 3 (1996) no. 1
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Golomb proposed a family of "strange" recursions of metafibonacci type, parameterized by $k$, and, for each $k$, identified what he speculated was the unique increasing solution. We show that, to the contrary, there are many increasing solutions for each $k$, and we indicate explicitly how to construct them. We also provide some additional general results concerning the nature of the strictly increasing solutions for this unusual family of recursions.
DOI : 10.37236/1232
Classification : 11B37
Mots-clés : recursion of Golomb, recursions of metafibonacci type 
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     author = {Ed Barbeau and Steve Tanny},
     title = {On a strange recursion of {Golomb}},
     journal = {The electronic journal of combinatorics},
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     number = {1},
     doi = {10.37236/1232},
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Ed Barbeau; Steve Tanny. On a strange recursion of Golomb. The electronic journal of combinatorics, Tome 3 (1996) no. 1. doi: 10.37236/1232

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