Is there a relationship between algebraic polynomial encoding of sequences, and https://en.wikipedia.org/wiki/G%C3%B6del_numbering_for_sequences https://en.wiki

Is there a relationship between algebraic polynomial encoding of sequences, and https://en.wikipedia.org/wiki/G%C3%B6del_numbering_for_sequences https://en.wikipedia.org/wiki/G%C3%B6del_numbering_for_seque... ? Does an encoding of a sequence in a given Gödel numbering, also somehow "retrievably" encode the probability space of the sequence's terms?