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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.

A369740 a(n) = Sum_{p|n, p prime} p^sigma(n/p).

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%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