Asymptotic growth of a non-computable sequence

[José Manuel Rodríguez Caballero]

Dear FOM members,
  In a recent preprint [1] comparing 't Hooft's and Wolfram's deterministic
models of quantum mechanics, I considered the following sequence: a(n) is
the smallest number having n binary digits, which can't be compressed
concerning a fixed Turing machine. I would appreciate some references to
tools to estimate the asymptotic growth of this sequence.

Kind regards,
José M.

References:
[1] arXiv:2108.03751 [quant-ph]
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