On a Strange Recursion of Golomb
On a Strange Recursion of Golomb
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 …