A304020 Coefficients of (q*(j(q)-744))^(1/4) where j(q) is the elliptic modular invariant.
1, 0, 49221, 5373440, -3417985269, -788396806656, 342234419865236, 132462307415526912, -36238724753334630039, -22802599804762047656960, 3430044089325166785294348, 3917150794938668128412249088, -180732068045239143713224620097
Offset: 0
Keywords
Links
- Seiichi Manyama, Table of n, a(n) for n = 0..378
- Eric Weisstein's World of Mathematics, j-Function
Crossrefs
Programs
-
Mathematica
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 *)
Formula
G.f.: Product_{k>0} (1 - x^k)^(-A302407(k)/4).