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 A386751 #17 Aug 03 2025 10:10:41
%S A386751 0,1,514,19686,263172,1953130,10118604,40353614,134744072,387479547,
%T A386751 1003908820,2357947702,5180803992,10604499386,20741757596,38449317180,
%U A386751 68988964880,118587876514,199164487158,322687697798,514009128360,794401245204,1211985118828,1801152661486
%N A386751 a(n) = n*sigma_8(n).
%H A386751 Vincenzo Librandi, <a href="/A386751/b386751.txt">Table of n, a(n) for n = 0..3000</a>
%F A386751 G.f.: Sum_{k>=1} k^9*x^(k-1)/(1 - x^k)^2.
%F A386751 a(n) = n*A013956(n).
%F A386751 Dirichlet g.f.: zeta(s-1)*zeta(s-9). - _R. J. Mathar_, Aug 03 2025
%t A386751 Table[n*DivisorSigma[8, n], {n, 0, 40}]
%t A386751 nmax = 40; CoefficientList[Series[x*Sum[k^9*x^(k-1)/(1 - x^k)^2, {k, 1, nmax}], {x, 0, nmax}], x]
%o A386751 (Magma) [0] cat [n*DivisorSigma(8,n): n in [1..25]]; // _Vincenzo Librandi_, Aug 02 2025
%Y A386751 Cf. A013956.
%Y A386751 Cf. A064987, A328259, A281372, A386749, A282050, A386750, A282060.
%K A386751 nonn,mult
%O A386751 0,3
%A A386751 _Vaclav Kotesovec_, Aug 01 2025