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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.

A369739 a(n) = Sum_{p|n, p prime} p^tau(n/p).

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%I A369739 #16 Jun 26 2024 21:48:15
%S A369739 0,2,3,4,5,13,7,8,9,29,11,43,13,53,34,16,17,89,19,141,58,125,23,145,
%T A369739 25,173,27,359,29,722,31,32,130,293,74,793,37,365,178,689,41,2498,43,
%U A369739 1347,206,533,47,499,49,633,298,2213,53,745,146,2465,370,845,59,16610,61,965,424,64,194
%N A369739 a(n) = Sum_{p|n, p prime} p^tau(n/p).
%F A369739 a(p^k) = p^k, for p prime and k >= 1. - _Wesley Ivan Hurt_, Jun 26 2024
%t A369739 Table[DivisorSum[n, #^DivisorSigma[0, n/#] &, PrimeQ[#] &], {n, 60}]
%Y A369739 Cf. A000005 (tau), A319131, A345270.
%K A369739 nonn,easy
%O A369739 1,2
%A A369739 _Wesley Ivan Hurt_, Jan 30 2024