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 A344060 #12 May 08 2021 23:06:55
%S A344060 1,10,65,2483,7777,2990810,2097153,2568661988,10604761518,
%T A344060 3570527751850,743008370689,232227195048256531,793714773254145,
%U A344060 21035724521219881850,504857283427304833025,727429690188773950335429,2185911559738696531969,43567528891100073055151954340,5242880000000000000000001
%N A344060 a(n) = Sum_{d|n} sigma(d)^n.
%F A344060 G.f.: Sum_{k >= 1} (sigma(k) * x)^k/(1 - (sigma(k) * x)^k).
%F A344060 If p is prime, a(p) = 1 + (p+1)^p.
%t A344060 a[n_] := DivisorSum[n, DivisorSigma[1 , #]^n &]; Array[a, 19] (* _Amiram Eldar_, May 08 2021 *)
%o A344060 (PARI) a(n) = sumdiv(n, d, sigma(d)^n);
%o A344060 (PARI) my(N=20, x='x+O('x^N)); Vec(sum(k=1, N, (sigma(k)*x)^k/(1-(sigma(k)*x)^k)))
%Y A344060 Cf. A007429, A023887, A065018, A342471, A344044, A344047, A344061.
%K A344060 nonn
%O A344060 1,2
%A A344060 _Seiichi Manyama_, May 08 2021