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 A344509 #12 May 29 2021 09:29:51 %S A344509 1,3,8,16,35,45,98,116,183,215,396,316,663,609,750,912,1513,1107,2128, %T A344509 1560,2135,2453,3818,2428,4325,4095,4914,4452,7743,4425,9486,7280, %U A344509 8613,9299,10640,8088,16243,13053,14378,12100,22181,12663,25628,17996,19305,23345,33558,19200,34251,26075 %N A344509 a(n) = (1/n) * Sum_{k=1..n} k * lcm(k,n). %F A344509 a(n) = A344508(n)/n. %F A344509 Sum_{k=1..n} a(k) ~ zeta(3) * n^4 / (2*Pi^2). - _Vaclav Kotesovec_, May 29 2021 %t A344509 a[n_] := Sum[k * LCM[k, n], {k, 1, n}]/n; Array[a, 50] (* _Amiram Eldar_, May 21 2021 *) %o A344509 (PARI) a(n) = sum(k=1, n, k*lcm(k, n))/n; %Y A344509 Cf. A057661, A344508. %K A344509 nonn %O A344509 1,2 %A A344509 _Seiichi Manyama_, May 21 2021