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 A289344 #18 Jul 03 2017 07:45:22 %S A289344 1,-11,-118,-1473,-23635,-434861,-8659573,-181387821,-3936961298, %T A289344 -87743843970,-1996149058302,-46163368994680,-1082012001849499, %U A289344 -25646334881233711,-613664275728573585,-14803437882920457712,-359626550280367615329 %N A289344 Coefficients in expansion of E_2^(1/2)/Product_{k>=1} (1-q^k). %F A289344 G.f.: Product_{k>=1} (1-q^k)^(A288995(k)/24). %F A289344 a(n) ~ c / (n^(3/2) * r^n), where r = A211342 = 0.03727681029645165815098078565... is the root of the equation Sum_{k>=1} A000203(k) * r^k = 1/24 and c = -0.309300289625571303778321676728514880378401177270067457514896529... - _Vaclav Kotesovec_, Jul 03 2017 %t A289344 nmax = 20; CoefficientList[Series[Sqrt[1 - 24*Sum[DivisorSigma[1, k]*x^k, {k, 1, nmax}]] / Product[1 - x^k, {k, 1, nmax}], {x, 0, nmax}], x] (* _Vaclav Kotesovec_, Jul 03 2017 *) %Y A289344 Cf. A006352 (E_2), A288995, A289062, A289291. %Y A289344 Cf. A106205, A106203. %K A289344 sign %O A289344 0,2 %A A289344 _Seiichi Manyama_, Jul 03 2017