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 A369907 #12 Jan 23 2025 17:42:47
%S A369907 0,0,0,2,0,5,0,4,3,7,0,16,0,9,8,8,0,21,0,24,10,13,0,32,5,15,9,32,0,62,
%T A369907 0,16,14,19,12,60,0,21,16,48,0,82,0,48,39,25,0,64,7,45,20,56,0,63,16,
%U A369907 64,22,31,0,154,0,33,51,32,18,122,0,72,26,118,0,120,0,39
%N A369907 a(n) = n * Sum_{p|n, p prime} omega(n/p) / p.
%H A369907 Antti Karttunen, <a href="/A369907/b369907.txt">Table of n, a(n) for n = 1..20000</a>
%F A369907 a(p^k) = p^(k-1), for p prime and k >= 1. - _Wesley Ivan Hurt_, Jun 26 2024
%t A369907 Table[n*DivisorSum[n, PrimeNu[n/#]/# &, PrimeQ[#] &], {n, 100}]
%o A369907 (PARI) A369907(n) = if(1==n, 0, my(f=factor(n)); n*sum(i=1, #f~, (omega(n/f[i, 1])/f[i,1]))); \\ _Antti Karttunen_, Jan 23 2025
%Y A369907 Cf. A001221 (omega), A345354, A345355, A369744.
%Y A369907 Cf. also A369894, A369909, A369779.
%K A369907 nonn,easy
%O A369907 1,4
%A A369907 _Wesley Ivan Hurt_, Feb 05 2024