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.
%I A084305 #14 Mar 09 2025 05:11:50
%S A084305 0,1,1,1,3,1,5,3,1,2,85,1,2,2,2,1,1,1,2,5,1,7,1,1,4,1,4,1,1,1,1,6,3,1,
%T A084305 3,3,2,1,9,12,16,4,1,1,1,2,1,2,1,49,3,7,1,2,6,1,1,1,6,1,3,2,1,1,5,2,1,
%U A084305 199,8,1,8,1,1,2,2,1,9,1,4,4,4,2,2,1,2,1,3,1,249,1,2,2,1,1,4,1,1,135,3,2,1
%N A084305 Continued fraction expansion of tanh(tanh(1)).
%C A084305 While the continued fraction of tanh(1) = {0, 1, 3, 5, 7, 11, ..}, i.e., 0 and odd numbers, twice applying tanh() we get this sequence.
%H A084305 Amiram Eldar, <a href="/A084305/b084305.txt">Table of n, a(n) for n = 0..10000</a>
%p A084305 with(numtheory); cfrac(tanh(tanh(tanh(1))),300,'quotients');
%t A084305 ContinuedFraction[Tanh[Tanh[1]],120] (* _Harvey P. Dale_, Jan 19 2024 *)
%o A084305 (PARI) contfrac(tanh(tanh(1))) \\ _Amiram Eldar_, Mar 08 2025
%Y A084305 Cf. A083124, A084304.
%K A084305 cofr,easy,nonn
%O A084305 0,5
%A A084305 _Labos Elemer_, Jun 04 2003