cp's OEIS Frontend

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.

A305696 Coefficients of (q*(j(q)-744))^(-1/4) where j(q) is the elliptic modular invariant.

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%I A305696 #21 Feb 16 2025 08:33:54
%S A305696 1,0,-49221,-5373440,5840692110,1317368987136,-769081921703395,
%T A305696 -285861152927176704,99587019847435059600,58472021328782000084480,
%U A305696 -11456674101843809483255526,-11455351916487867258761894400,892125673948866841204086469705
%N A305696 Coefficients of (q*(j(q)-744))^(-1/4) where j(q) is the elliptic modular invariant.
%H A305696 Seiichi Manyama, <a href="/A305696/b305696.txt">Table of n, a(n) for n = 0..377</a>
%H A305696 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/j-Function.html">j-Function</a>
%F A305696 G.f.: Product_{k>0} (1 - x^k)^(A302407(k)/4).
%t A305696 CoefficientList[Series[((2^16 + x*QPochhammer[-1, x]^24)^3/(2*QPochhammer[-1, x])^24 - 744*x)^(-1/4), {x, 0, 15}], x] (* _Vaclav Kotesovec_, Jun 09 2018 *)
%Y A305696 (q*(j(q)-744))^(k/4): A305699 (k=-4), A305698 (k=-2), this sequence (k=-1), A304020 (k=1), A305697 (k=2).
%Y A305696 Cf. A000521 (j), A014708 (j-744), A289397, A289416, A302407.
%K A305696 sign
%O A305696 0,3
%A A305696 _Seiichi Manyama_, Jun 08 2018