Got it. It was a Blender thing (I hate its interface). When I used Max's QTip, it worked like a charm and I got my now 3 animation subsequences. And if anyone who reads this wants to know, getSequenceCount() returns the number of subsequences. I can't tell of a way to find the number of frames, but I guess that's how Egon wants it: jPCT interpolates the animation frames so the entire thing is contained between indexes 0 and 1.0f. Also, there's an Object3D.animate(float, int) with which to pick the subsequences (the int of course).
Egon, if you do read this, for whatever it's worth I found it a little counter-intuitive to put so little in the Animation class and so much in Object3D. The Animation class, in my opinion, should be able to handle everything on its own.