cp's OEIS Frontend

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.

A359882 a(n) = Sum_{d|n} d^n * (n/d)^d.

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%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