# Continued fractions and modular forms

Let $q=e^{2\pi it}$. If $u(t)$ is Ramanujan's octic continued fraction, is it true that the generator of the octahedral group can be expressed as a continued fraction of the form $$(u(2t))^2=\frac{2q^{1/2}}{1-q+\frac{q(1+q)^2}{1-q^3+\frac{q^2(1+q^2)^2}{1-q^5+\frac{q^3(1+q^3)^2}{1-q^7+\ldots}}}}$$ for $|q|\lt 1$?

• I think I didn't mess things up when adding formatting. In any case, it doesn't look ridiculously wrong. – David Roberts Jul 8 '15 at 7:29
• Some motivation would be nice. – Jim Conant Jul 8 '15 at 7:56