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 A370869 #9 Mar 26 2024 18:15:13 %S A370869 0,-3,3,-15,-159,-73023,-1110092415,-26437810940723795199, %T A370869 188534296956047109666345322462443132417, %U A370869 -138142952727263338693771981084959537243558105718529460985143718744222698198015 %N A370869 a(0) = 0; thereafter, a(n) = a(n-1)^2 - 3*A058891(n). %C A370869 Numerators in the iteration f(0) = 0 and f(n) = f(n-1)^2 - 3/2. First values are 0, -3/2, 3/4, -15/16, -159/256, ... Denominators are A001146(n). We still don't know the behavior of this iteration (see links). %H A370869 Jordana Cepelewicz, <a href="https://www.quantamagazine.org/entropy-bagels-and-other-complex-structures-emerge-from-simple-rules-20240227/">‘Entropy Bagels’ and Other Complex Structures Emerge From Simple Rules</a>, Quanta Magazine, 27 February 2024. %H A370869 Holly Krieger and Brady Haran, <a href="https://www.youtube.com/watch?v=eC9-1wY7FvU">The Mystery of Hyperbolicity</a>, Numberphile video (2024). %F A370869 a(n) = a(n-1)^2 - 3*A058891(n). %t A370869 a[0]=0; a[n_]:=a[n]=a[n-1]^2-3*2^(2^(n-1)- 1); Array[a,9,0] %Y A370869 Cf. A058891, A001146. %K A370869 sign %O A370869 0,2 %A A370869 _Giorgos Kalogeropoulos_, Mar 03 2024