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 A289369 #41 Mar 11 2019 09:21:13
%S A289369 1,72,11232,5461344,2029222656,924074630640,411487620614784,
%T A289369 192705317913673152,91031590937141544960,43814578627107100088424,
%U A289369 21291642032558036150652480,10450287314646252538819378464,5166676457072455262194208351232
%N A289369 Coefficients in expansion of (E_4^3/E_6^2)^(1/24).
%H A289369 Seiichi Manyama, <a href="/A289369/b289369.txt">Table of n, a(n) for n = 0..367</a>
%F A289369 G.f.: Product_{n>=1} (1-q^n)^(-12*A289367(n)).
%F A289369 a(n) ~ c * exp(2*Pi*n) / n^(11/12), where c = 2^(1/3) * Pi^(1/4) / (3^(1/24) * Gamma(1/12) * Gamma(1/4)^(1/3)) = 0.0907014320494145997187363667820553893... - _Vaclav Kotesovec_, Jul 08 2017, updated Mar 04 2018
%F A289369 a(n) * A289368(n) ~ -(sqrt(3)-1) * exp(4*Pi*n) / (24*sqrt(2)*Pi*n^2). - _Vaclav Kotesovec_, Mar 04 2018
%t A289369 nmax = 20; CoefficientList[Series[((1 + 240*Sum[DivisorSigma[3,k]*x^k, {k, 1, nmax}])^3 / (1 - 504*Sum[DivisorSigma[5,k]*x^k, {k, 1, nmax}])^2)^(1/24), {x, 0, nmax}], x] (* _Vaclav Kotesovec_, Jul 08 2017 *)
%Y A289369 (E_4^3/E_6^2)^(k/288): A289365 (k=1), A299694 (k=2), A299696 (k=3), A299697 (k=4), A299698 (k=6), A299943 (k=8), A299949 (k=9), this sequence (k=12), A299950 (k=16), A299951 (k=18), A299953 (k=24), A299993 (k=32), A299994 (k=36), A300052 (k=48), A300053 (k=72), A300054 (k=96), A300055 (k=144), A289209 (k=288).
%Y A289369 Cf. A108091 (E_4^(1/8)), A109817 (E_6^(1/12)).
%Y A289369 Cf. A289367, A294978, A294979.
%K A289369 nonn
%O A289369 0,2
%A A289369 _Seiichi Manyama_, Jul 04 2017