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 A369740 #5 Jul 16 2025 20:16:43 %S A369740 0,2,3,8,5,43,7,128,81,189,11,6283,13,599,1354,32768,17,539633,19, %T A369740 340269,8962,5427,23,282784363,15625,18581,1594323,17600759,29, %U A369740 648338330,31,2147483648,546082,267057,508274,23426548268849,37,1055435,4811530,4428564089229,41,300565790978 %N A369740 a(n) = Sum_{p|n, p prime} p^sigma(n/p). %F A369740 a(p^k) = p^((1-p^k)/(1-p)) for p prime and k>=1. - _Wesley Ivan Hurt_, Jul 16 2025 %t A369740 Table[DivisorSum[n, #^DivisorSigma[1, n/#] &, PrimeQ[#] &], {n, 50}] %Y A369740 Cf. A000203 (sigma), A323599, A369903, A369904. %K A369740 nonn,easy %O A369740 1,2 %A A369740 _Wesley Ivan Hurt_, Jan 30 2024