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 A359882 #13 Aug 09 2023 02:03:50 %S A359882 1,6,30,324,3130,53070,823550,17829896,387951939,10312525610, %T A359882 285311670622,9056807631948,302875106592266,11198819379685518, %U A359882 437901307945957140,18518802767263301648,827240261886336764194,39423330565860716459946 %N A359882 a(n) = Sum_{d|n} d^n * (n/d)^d. %F A359882 a(n) = [x^n] Sum_{k>0} (n * x)^k / (1 - (k * x)^k). %F A359882 If p is prime, a(p) = p + p^p. %t A359882 a[n_] := DivisorSum[n, #^n * (n/#)^# &]; Array[a, 20] (* _Amiram Eldar_, Aug 09 2023 *) %o A359882 (PARI) a(n) = sumdiv(n, d, d^n*(n/d)^d); %Y A359882 Cf. A066108, A308594, A359103. %K A359882 nonn %O A359882 1,2 %A A359882 _Seiichi Manyama_, Jan 16 2023