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 A341472 #5 Feb 13 2021 14:38:18 %S A341472 1,-1,-3,-1,-3,2,0,-2,0,5,3,-4,-6,-1,4,6,4,-3,-5,-12,-7,-2,-4,5,7,12, %T A341472 10,3,1,-15,-17,-19,-14,-9,-4,10,8,13,18,27,25,9,7,0,-7,-2,-4,-15,-13, %U A341472 -20,-15,-22,-24,-15,-10,-1,4,9,7,37,35,40,33,35,40,24,22,15,20,4 %N A341472 Partial sums of A341444. %C A341472 This is G^(-1) in Schmidt article. %H A341472 M. D. Schmidt, <a href="https://arxiv.org/abs/2102.05842">New characterizations of the summatory function of the Moebius function</a>, arXiv:2102.05842 [math.NT], 2021. %o A341472 (PARI) cOmega(n) = if (n==1, 1, my(f=factor(n)); bigomega(n)!*prod(k=1, #f~, 1/f[k,2]!)); \\ A008480 %o A341472 gm(n) = (-1)^bigomega(n)*sumdiv(n, d, moebius(n/d)^2*cOmega(d)); \\ A341444 %o A341472 a(n) = sum(k=1, n, gm(k)); %Y A341472 Cf. A341444. %K A341472 sign %O A341472 1,3 %A A341472 _Michel Marcus_, Feb 13 2021