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 A359052 #18 Aug 27 2023 17:02:56 %S A359052 1,26,21953,5554572467,298500366308609377, %T A359052 11413459460309090641106905930, %U A359052 256925761343390078522337875137209684721665,6476754651706496208416137876625690606583079440495100502628 %N A359052 a(n) = Sum_{d|n} sigma_d(d)^n. %H A359052 Seiichi Manyama, <a href="/A359052/b359052.txt">Table of n, a(n) for n = 1..26</a> %F A359052 G.f.: Sum_{k >= 1} (sigma_k(k) * x)^k/(1 - (sigma_k(k) * x)^k). %t A359052 a[n_] := DivisorSum[n, DivisorSigma[#, #]^n &]; Array[a, 8] (* _Amiram Eldar_, Aug 27 2023 *) %o A359052 (PARI) a(n) = sumdiv(n, d, sigma(d, d)^n); %o A359052 (PARI) my(N=10, x='x+O('x^N)); Vec(sum(k=1, N, (sigma(k, k)*x)^k/(1-(sigma(k, k)*x)^k))) %Y A359052 Cf. A344060, A359053, A359054. %K A359052 nonn %O A359052 1,2 %A A359052 _Seiichi Manyama_, Dec 14 2022