Currie's Mysterious Pattern and Iterated Functions
Abstract
In his book "Mathematics Rhyme and Reason," Currie discusses what he calls a mysterious pattern involving the sequence an = 2n 2 - 2 + 2 + ·s + 2, where n is the number of radicals. Part of the mystery is that an converges to π. In this paper we discuss a general framework for results like the mysterious pattern in the context of iterated functions.
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