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 A174472 #23 Oct 14 2021 08:44:20
%S A174472 1,9,82,16393,15626,2176782426,5764802,35184372105225,2541865828411,
%T A174472 1000000000000015634,3138428376722,1648446623609512543953220489306,
%U A174472 3937376385699290,3214199700417740936756852426,16834112196028232574462906332,21267647932558653966460948148857618441
%N A174472 a(n) = Sum_{d|n} d^sigma(d).
%H A174472 Seiichi Manyama, <a href="/A174472/b174472.txt">Table of n, a(n) for n = 1..167</a>
%F A174472 Logarithmic derivative of A174471.
%F A174472 G.f.: Sum_{k>=1} k^sigma(k) * x^k/(1 - x^k). - _Seiichi Manyama_, Oct 14 2021
%t A174472 a[n_] := DivisorSum[n, #^DivisorSigma[1, #] &]; Array[a, 16] (* _Amiram Eldar_, Oct 08 2021 *)
%o A174472 (PARI) {a(n)=sumdiv(n,d,d^sigma(d))}
%o A174472 (PARI) my(N=20, x='x+O('x^N)); Vec(sum(k=1, N, k^sigma(k)*x^k/(1-x^k))) \\ _Seiichi Manyama_, Oct 14 2021
%Y A174472 Cf. A000203 (sigma), A062796, A174471, A174937, A345895.
%K A174472 nonn
%O A174472 1,2
%A A174472 _Paul D. Hanna_, Apr 04 2010