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 A085086 #9 Dec 08 2015 02:41:48
%S A085086 1,1,2,1,4,2,8,4,8,16,16,32,32,64,128,256,64,512,128,1024,2048,4096,
%T A085086 256,8192,16384,32768,65536,131072,512,262144,1024,524288,1048576,
%U A085086 2097152,4194304,8388608,2048,16777216,33554432,67108864,4096,134217728,8192
%N A085086 a(1) = 1; if n is composite then a(n) = Sum_{i < n, i not prime} a(i), else if n is prime then a(n) = sum_{ j < n, j is a noncomposite} a(j).
%F A085086 a(p(i)) = 2^(i-1); a(A002808(i)) = 2^(i-1). - _David Wasserman_, Jan 25 2005
%e A085086 a(7) = a(1) + a(2) + a(3) + a(5) = 8.
%Y A085086 Cf. A002033, A045545.
%K A085086 nonn
%O A085086 1,3
%A A085086 _Amarnath Murthy_ and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Jul 02 2003
%E A085086 More terms from _David Wasserman_, Jan 25 2005