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 A344061 #12 May 08 2021 23:07:02
%S A344061 1,4,5,17,7,56,9,146,78,298,13,1501,15,2276,1265,9219,19,25716,21,
%T A344061 77519,16929,177328,25,739582,7808,1594562,264382,5611241,31,15699452,
%U A344061 33,48863172,4196081,129140542,312753,447589422,39,1162261928,67111665,3771805472,43,10764897556,45
%N A344061 a(n) = Sum_{d|n} sigma(d)^(n/d).
%F A344061 G.f.: Sum_{k >= 1} sigma(k) * x^k/(1 - sigma(k) * x^k).
%F A344061 If p is prime, a(p) = 2 + p.
%t A344061 a[n_] := DivisorSum[n, DivisorSigma[1 , #]^(n/#) &]; Array[a, 43] (* _Amiram Eldar_, May 08 2021 *)
%o A344061 (PARI) a(n) = sumdiv(n, d, sigma(d)^(n/d));
%o A344061 (PARI) my(N=66, x='x+O('x^N)); Vec(sum(k=1, N, sigma(k)*x^k/(1-sigma(k)*x^k)))
%Y A344061 Cf. A007429, A055225, A279789, A309369, A342471, A344060.
%K A344061 nonn
%O A344061 1,2
%A A344061 _Seiichi Manyama_, May 08 2021