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Questions about the branch of algebra that deals with groups.

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Sequences, semigroups, addition formulae.

Is your functional equation a non-vacuous constraint? Since summation is group operation, the pairs [2n,2n+1] form a group 2N, which map to your group [a(2n),a(2n+1)]. For example, for A000069 1, 2, …
Tegiri Nenashi's user avatar