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 A369742 #8 Jun 26 2024 22:09:05 %S A369742 0,2,3,2,5,5,7,1,3,7,11,3,13,9,8,1,17,4,19,3,10,13,23,2,5,15,1,3,29, %T A369742 10,31,1,14,19,12,2,37,21,16,2,41,12,43,3,4,25,47,2,7,6,20,3,53,2,16, %U A369742 2,22,31,59,4,61,33,4,1,18,16,67,3,26,14,71,2,73,39,6,3,18 %N A369742 a(n) = Sum_{p|n, p prime} p^(mu(n/p)^2). %F A369742 a(p^k) = p for p prime and 1 <= k <= 2, else 1 if k >= 3. - _Wesley Ivan Hurt_, Jun 26 2024 %t A369742 Table[DivisorSum[n, #^(MoebiusMu[n/#]^2) &, PrimeQ[#] &], {n, 100}] %Y A369742 Cf. A008683 (mu), A143519. %K A369742 nonn,easy %O A369742 1,2 %A A369742 _Wesley Ivan Hurt_, Jan 30 2024