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 A369903 #6 Jun 26 2024 15:03:14 %S A369903 0,2,3,64,5,1512,7,2097152,6561,1001000,11,8916136280064,13, %T A369903 1475791800,11441250,1152921504606846976,17,21979796247097344,19, %U A369903 262144000000001280000000,37823053842,12855002631059864,23,442501521100279866178075737690262732800,244140625 %N A369903 a(n) = Sum_{p|n, p prime} n^sigma(n/p). %F A369903 a(p^k) = p^(k*(1-p^k)/(1-p)), for prime p and k >= 1. - _Wesley Ivan Hurt_, Jun 26 2024 %t A369903 Table[DivisorSum[n, n^DivisorSigma[1, n/#] &, PrimeQ[#] &], {n, 30}] %Y A369903 Cf. A000203 (sigma), A323599, A329354, A369740. %K A369903 nonn,easy %O A369903 1,2 %A A369903 _Wesley Ivan Hurt_, Feb 05 2024