Fascinating, is anything truly random? From a very different angle we asked the same question. Here is our 100% deterministic integer series https://oeis.org/A334572 and we proved that it converged to the expectation value of a particular random distribution. :) https://doi.org/10.1016/j.jnt.2021.09.010 and https://arxiv.org/abs/2005.02027
