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May 29, 2023 at 11:14 comment added J.Mayol Yes, indeed. Sorry for this mess. The answer of @NoamD.Elkies is exactly answering this statement (and not the two previous iterations of my question, sorry).
May 29, 2023 at 11:12 history edited J.Mayol CC BY-SA 4.0
added 2 characters in body
May 26, 2023 at 20:04 history edited Wlod AA CC BY-SA 4.0
typo?
May 26, 2023 at 18:13 comment added Dave Benson And did you mean $|\operatorname{Re}(a_n)|\to\infty$?
May 26, 2023 at 18:02 comment added J.Mayol Yes, I meant that!
May 26, 2023 at 17:34 history edited Daniele Tampieri CC BY-SA 4.0
Typo fixing+minor Math Jaxing
May 26, 2023 at 13:06 comment added Joe Silverman Your definition of $a_n$ seems to be an absolute value, so it's already real. Did you mean to use parentheses? Also, use \left and \right to make them the right size, thus $$a_n = \left(\frac12+i\frac{\sqrt7}{2}\right)^n.$$
May 26, 2023 at 13:04 comment added J.Mayol Thank you, it is indeed hard!
May 26, 2023 at 12:56 comment added Noam D. Elkies Asked and answered some years ago on Math Stack Exchange. The result is nontrivial but can be proved in several ways using known techniques. math.stackexchange.com/questions/705877/an-exotic-sequence
May 26, 2023 at 12:43 history asked J.Mayol CC BY-SA 4.0