Ok, now remember, I'm NO sprite wiz here so keep that in mind

I see 2 possible issues here:

1. First, a small one, in your 5 images that you are trying to cycle through, image new.3 is 256x256 pixels in size, while the rest are 512x512.

Maya might not know how to treat this, so it may be omitting it, or it may be too small to see, so it seems like it is blinking?
Not sure.....

OR

2. In your particleShape ApplySprite expressions, 2 particle shapes share this first int string:

int $firstImageNumber = .I[0];
int $lastImageNumber = .I[1];


Then, the remaining 2 share this string:

int $firstImageNumber = file2.startCycleExtension;
int $lastImageNumber = file2.endCycleExtension;

Maya might not know how you want to cycle through your images, or, maya might be having an issue with something along those lines maybe?

...Sorry I couldn't be of more help


On a side note, are yo trying to achive a "warp drive" type of starfield flythrough effect?

If so, have you tried using an omni point emitter emitting points with a pass ratio of 5 (like you currently have), and have the points emit towards the camera, in a cone shape?

Just one of many ways to do that.
(IF that's what you were trying to do...)

Lemme know if I helped at all, AND if you ARE trying to get that type of effect, I have MANY easier ways you could try to do this that have worked fo me in the past