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 A308076 #7 Oct 16 2019 03:37:47
%S A308076 1,2,4,12,16,48,64,168,272,576,1024,2288,4096,8448,16512,33456,65536,
%T A308076 132448,262144,526784,1049088,2101248,4194304,8399232,16777472,
%U A308076 33570816,67110976,134252288,268435456,536942336,1073741824,2147618976,4294975488,8590196736,17179871232
%N A308076 G.f. A(x) satisfies: A(x) = x + 2*A(x^2) + 4*A(x^3) + 8*A(x^4) + ... + 2^(k-1)*A(x^k) + ...
%F A308076 a(1) = 1; a(n) = Sum_{d|n, d<n} 2^(n/d-1)*a(d).
%F A308076 a(n) ~ 2^(n-1). - _Vaclav Kotesovec_, Oct 16 2019
%t A308076 terms = 35; A[_] = 0; Do[A[x_] = x + Sum[2^(k - 1) A[x^k], {k, 2, terms}] + O[x]^(terms + 1) //Normal, terms + 1]; Rest[CoefficientList[A[x], x]]
%t A308076 a[n_] := If[n == 1, n, Sum[If[d < n, 2^(n/d - 1) a[d], 0], {d, Divisors[n]}]]; Table[a[n], {n, 1, 35}]
%Y A308076 Cf. A011782, A050354, A050369, A054599, A074206.
%K A308076 nonn
%O A308076 1,2
%A A308076 _Ilya Gutkovskiy_, May 11 2019