Re: [math-fun] Question about base 3/2

Jim, your Subject line asks about “base 3/2” but the body asks for a function F(x) = P(x)/Q(x), with P & Q polynomials having non-negative integer coefficients, such that F(2/3) = 1/3. Which?

On Sep 24, 2016, at 8:39 PM, James Propp <jamespropp@gmail.com> wrote:

Is it possible to write 1/3 as an infinite sum of the form a_1 (2/3)^1 + a_2 (2/3)^2 + ... where the sequence of nonnegative integer coefficients a_1, a_2, ... is eventually periodic?

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