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 A338694 #23 Feb 20 2023 12:25:33
%S A338694 1,8,81,1028,15625,280017,5764801,134219264,3486784428,100000031250,
%T A338694 3138428376721,106993206079936,3937376385699289,155568095575106627,
%U A338694 6568408355712921875,295147905179822588160,14063084452067724991009,708235345355351624428356,37589973457545958193355601
%N A338694 a(n) = Sum_{d|n} d^d * binomial(d, n/d).
%H A338694 Winston de Greef, <a href="/A338694/b338694.txt">Table of n, a(n) for n = 1..384</a>
%F A338694 G.f.: Sum_{k>=1} ( (k + k * x^k)^k - k^k ) = Sum_{k>=1} k^k * ( (1 + x^k)^k - 1 ).
%F A338694 If p is prime, a(p) = p^(p+1).
%t A338694 a[n_] := DivisorSum[n, #^# * Binomial[#, n/#] &]; Array[a, 20] (* _Amiram Eldar_, Apr 24 2021 *)
%o A338694 (PARI) a(n) = sumdiv(n, d, d^d*binomial(d, n/d));
%o A338694 (PARI) N=20; x='x+O('x^N); Vec(sum(k=1, N, (k+k*x^k)^k-k^k))
%Y A338694 Cf. A062796, A318636, A318637, A318638, A338693.
%K A338694 nonn
%O A338694 1,2
%A A338694 _Seiichi Manyama_, Apr 24 2021