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

The question is about the "fractional" portion of the base (3/2) expansion of (1/3). That is to say, the portion with negative exponents of (3/2), since the coeficients of the positive exponents are all zero. Well, (3/2)**(-n) is just (2/3)**n. The question was expressed in terms of positive exponents of (2/3) instead of negative exponents of (3/2). There's no inconsistency. Tom Simon Plouffe writes:

Hello,

I am not certain I understand your question, you say in base (3/2) but your example uses base (2/3).

Marc LeBrun writes:

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?