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 A289339 #9 Mar 07 2018 17:18:21 %S A289339 1,-287,-42595,-9750370,-3081185660,-1117168154431,-438204467218406, %T A289339 -181018051263504195,-77584080248087108885,-34183723168674046275385, %U A289339 -15388633770558568711781905,-7047808475666778827478858184 %N A289339 Coefficients of (q*(j(q)-1728))^(7/24) where j(q) is the elliptic modular invariant. %F A289339 G.f.: Product_{k>=1} (1-q^k)^(7*A289061(k)/24). %F A289339 a(n) ~ c * exp(2*Pi*n) / n^(19/12), where c = -7 * exp(-7*Pi/12) * Gamma(1/12) / (2^(35/12) * 3^(1/12) * Pi^(17/12) * Gamma(3/4)^(1/3)) = -0.287342744567300675294730727139553541489784437990631575713791583301655... - _Vaclav Kotesovec_, Mar 07 2018 %t A289339 CoefficientList[Series[((256/QPochhammer[-1, x]^8 + x*QPochhammer[-1, x]^16/256)^3 - 1728*x)^(7/24), {x, 0, 20}], x] (* _Vaclav Kotesovec_, Mar 07 2018 *) %Y A289339 (q*(j(q)-1728))^(k/24): A106203 (k=1), A289330 (k=2), A289331 (k=3), A289332 (k=4), A289333 (k=5), A289334 (k=6), this sequence (k=7), A289340 (k=8), A007242 (k=12), A289063 (k=24). %Y A289339 Cf. A289061. %K A289339 sign %O A289339 0,2 %A A289339 _Seiichi Manyama_, Jul 02 2017