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 A386750 #14 Aug 03 2025 10:17:37
%S A386750 0,1,130,2190,16644,78130,284700,823550,2130440,4789539,10156900,
%T A386750 19487182,36450360,62748530,107061500,171104700,272696336,410338690,
%U A386750 622640070,893871758,1300395720,1803574500,2533333660,3404825470,4665663600,6103906275,8157308900,10474721820
%N A386750 a(n) = n*sigma_6(n).
%H A386750 Vincenzo Librandi, <a href="/A386750/b386750.txt">Table of n, a(n) for n = 0..3000</a>
%F A386750 G.f.: Sum_{k>=1} k^7*x^(k-1)/(1 - x^k)^2.
%F A386750 a(n) = n*A013954(n).
%F A386750 Dirichlet g.f.: zeta(s-1)*zeta(s-7). - _R. J. Mathar_, Aug 03 2025
%t A386750 Table[n*DivisorSigma[6, n], {n, 0, 40}]
%t A386750 nmax = 40; CoefficientList[Series[x*Sum[k^7*x^(k-1)/(1 - x^k)^2, {k, 1, nmax}], {x, 0, nmax}], x]
%o A386750 (Magma) [0] cat [n*DivisorSigma(6,n): n in [1..25]]; // _Vincenzo Librandi_, Aug 02 2025
%Y A386750 Cf. A013954.
%Y A386750 Cf. A064987, A328259, A281372, A386749, A282050, A282060, A386751.
%K A386750 nonn,mult
%O A386750 0,3
%A A386750 _Vaclav Kotesovec_, Aug 01 2025