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 A369909 #11 Jan 22 2025 17:32:27
%S A369909 0,0,0,2,0,5,0,8,3,7,0,20,0,9,8,24,0,30,0,28,10,13,0,60,5,15,18,36,0,
%T A369909 62,0,64,14,19,12,90,0,21,16,84,0,82,0,52,48,25,0,160,7,70,20,60,0,
%U A369909 135,16,108,22,31,0,186,0,33,60,160,18,122,0,76,26,118,0,240,0
%N A369909 a(n) = n * Sum_{p|n, p prime} Omega(n/p) / p.
%H A369909 Antti Karttunen, <a href="/A369909/b369909.txt">Table of n, a(n) for n = 1..20000</a>
%F A369909 a(p^k) = (k-1)*p^(k-1), for p prime and k >= 1. - _Wesley Ivan Hurt_, Jun 26 2024
%t A369909 Table[n*DivisorSum[n, PrimeOmega[n/#]/# &, PrimeQ[#] &], {n, 100}]
%o A369909 (PARI) A369909(n) = if(1==n, 0, my(f=factor(n)); n*sum(i=1, #f~, (bigomega(n/f[i, 1])/f[i,1]))); \\ _Antti Karttunen_, Jan 22 2025
%Y A369909 Cf. A001222 (Omega), A369741, A369908.
%Y A369909 Cf. also A369894.
%K A369909 nonn,easy
%O A369909 1,4
%A A369909 _Wesley Ivan Hurt_, Feb 05 2024