cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A077625 Largest term in periodic part of continued fraction expansion of square root of -1+2^n or 0 if -1+2^n is square.

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%I A077625 #15 Apr 25 2022 08:04:14
%S A077625 0,2,4,6,10,14,22,30,44,62,90,126,180,254,362,510,724,1022,1448,2046,
%T A077625 2896,4094,5792,8190,11584,16382,23170,32766,46340,65534,92680,131070,
%U A077625 185362,262142,370726,524286,741454,1048574,1482910,2097150,2965820,4194302,5931640
%N A077625 Largest term in periodic part of continued fraction expansion of square root of -1+2^n or 0 if -1+2^n is square.
%C A077625 a(n) = 0 iff n = 1, as a consequence of Catalan's conjecture or Mihăilescu's theorem. - _Bernard Schott_, Apr 24 2022
%H A077625 Chai Wah Wu, <a href="/A077625/b077625.txt">Table of n, a(n) for n = 1..80</a>
%H A077625 Wikipedia, <a href="https://en.wikipedia.org/wiki/Catalan&#39;s_conjecture">Catalan's conjecture</a>.
%t A077625 Table[Max[Last[ContinuedFraction[Sqrt[ -1+2^u]]]], {u, 1, 32}]
%Y A077625 Cf. A077624-A077635.
%K A077625 nonn
%O A077625 1,2
%A A077625 _Labos Elemer_, Nov 13 2002
%E A077625 Definition clarified, a(1) corrected and a(33)-a(43) added by _Chai Wah Wu_, Apr 19 2022