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 A369868 #6 Jun 26 2024 15:13:46 %S A369868 0,1,1,4,1,42,1,64,81,1010,1,1872,1,38430,3600,65536,1,110808,1, %T A369868 160400,194922,5153654,1,8294400,15625,308915802,531441,481891088,1, %U A369868 729837000,1,1073741824,39136482,52523350178,1543500,78424630272,1,4347792138534,3518745282 %N A369868 a(n) = Sum_{p|n, p prime} n^pi(n/p). %F A369868 a(p^k) = p^(k*pi(p^(k-1))), for p prime and k >= 1. - _Wesley Ivan Hurt_, Jun 26 2024 %t A369868 Table[DivisorSum[n, n^PrimePi[n/#] &, PrimeQ[#] &], {n, 60}] %Y A369868 Cf. A000720 (pi), A345301, A369745, A369747. %K A369868 nonn,easy %O A369868 1,4 %A A369868 _Wesley Ivan Hurt_, Feb 03 2024