I would like to know if there are known bounded recursive sequence (non monotonic):
It shouldn't be a constant, neither a convergent sequence, nor a periodic one.
(I am not asking for a true random generator) but the aim is to get a different bounded number in every step, I would like for example a sequence for digits of an irrational number defined recursively, for example $\pi$ or $e$ digits.
(if where possible non periodical but I could be fine a 'long' period)
Does anybody know a sequence with these characteristics?
I've read about Spigot algorithms, but they are not defined recursively.