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An integer sequence $(a_n)_{n \in \mathbb{N}}$ is MC-finite if for all $m$, the sequence $a_n \bmod m$ is eventually periodic. There are MC-finite sequences such that $a_n \bmod m$ is not computable (as a function of both $n,m$). We discuss some cases in which this function is computable.

See also our previous paper on the topic.