Yesterday I asked if there could be such a sequence of real numbers such that for all , AGM, and it turns out that the new sequence is just a linearly stretched version, and that had me wondering, in what cases are we aware of nonlinearly stretched geometric sequences:
The ordinary geometric sequence:
The polylogarithm (in particular, the dilogarithm):
But there are lacunary monsters like the following:
That there are no present methods of evaluation for.