I would call it a "cycle". goes from rich to lean about 3 times on each startup, each cycle takes about 15 seconds.
RPMs change through the cycle, starting from normal 600ish to over 1000 (maybe 1500).
The car is coming out of the garage this weekend for the summer (everything was delayed from buying a house). So the plan is to go bigger injectors, bigger MAF and retune. I can't remember exactly how the rpms cycle on startup, but I'll let you know next week.