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 A332658 #9 Sep 08 2022 08:46:25 %S A332658 1,1,8,14,49,26,146,112,234,149,604,238,1013,440,842,896,2311,702, %T A332658 3248,1386,2491,1814,5818,1904,6200,3041,6318,4102,11773,2524,14414, %U A332658 7168,10277,6935,14504,6552,24641,9746,17230,11088,33619,7471,38828,16926,23166,17456 %N A332658 a(n) = Sum_{k=1..n} mu(gcd(n, k)) * lcm(n, k) / gcd(n, k). %F A332658 a(n) = Sum_{d|n} A007427(n/d) * A056789(d). %t A332658 Table[Sum[MoebiusMu[GCD[n, k]] LCM[n, k]/GCD[n, k], {k, 1, n}], {n, 1, 46}] %t A332658 A007427[n_] := Sum[MoebiusMu[n/d] MoebiusMu[d], {d, Divisors[n]}]; A056789[n_] := Sum[LCM[n, k]/GCD[n, k], {k, 1, n}]; Table[Sum[A007427[n/d] A056789[d], {d, Divisors[n]}], {n, 1, 46}] %o A332658 (Magma) [&+[MoebiusMu(Gcd(n,k))*Lcm(n,k)/ Gcd(n,k):k in [1..n]]:n in [1..50]]; // _Marius A. Burtea_, Feb 18 2020 %o A332658 (PARI) a(n) = sum(k=1, n, moebius(gcd(n, k))*lcm(n, k)/gcd(n, k)); \\ _Michel Marcus_, Feb 18 2020 %Y A332658 Cf. A007427, A008683, A056789, A063445, A331388. %K A332658 nonn %O A332658 1,3 %A A332658 _Ilya Gutkovskiy_, Feb 18 2020