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 A099729 #9 Dec 18 2014 10:16:23
%S A099729 1,2,8,68,4688,21977408,483006462403088,
%T A099729 233295242723145661671791940368,
%U A099729 54426670277251448804881298598338033107084297639402489952768
%N A099729 a(n) = a(n-1)^2 + a(floor(n/2))^2; a(0) = 1.
%H A099729 <a href="/index/Aa#AHSL">Index entries for sequences of form a(n+1)=a(n)^2 + ...</a>
%F A099729 a(n) ~ c^(2^n), where c = 1.6960426326108078452611100055735661068469295099996784988263600567400352165... . - _Vaclav Kotesovec_, Dec 18 2014
%t A099729 a = ConstantArray[0, 10]; a[[1]]=2; Do[a[[n]] = a[[n-1]]^2 + a[[Floor[n/2]]]^2,{n,2,10}]; Flatten[{1,a}] (* _Vaclav Kotesovec_, Dec 18 2014 *)
%Y A099729 Cf. A000123.
%K A099729 nonn
%O A099729 0,2
%A A099729 _Reinhard Zumkeller_, Nov 08 2004