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Wow I didn't knew about that one. Nice find.
How do you have the interrupt code be at 38h?
*facepalm* The kernel does include random number generation...
It's hard to predict many on the TI-OS though, due to all possibilities but yeah it's possible, if you write numbers down or something, to do luck manipulation, like in games, by setting the seed to something specific then running the game before the boss fight.
Doesnt the z80 have an R register that can be used for Random number generation that is much harder to calculate? I believe Axe random numbers use something like this...