I based the topology on the manufacturer's datasheet schematic. It looks funny on my schematic, but the cap is parallel with the inductor. I've tried varying the tap point, but it does not seem to have any effect.
What really confuses me is that the oscillations start, then stop, and then start again. I've built standalone oscillators in the past and they've always maintained one of two states (oscillating or non-oscillating).
Also, I typed 1.68uf on the inductor, but meant to type 1.68uh.