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A304020
Coefficients of (q*(j(q)-744))^(1/4) where j(q) is the elliptic modular invariant.
7
1, 0, 49221, 5373440, -3417985269, -788396806656, 342234419865236, 132462307415526912, -36238724753334630039, -22802599804762047656960, 3430044089325166785294348, 3917150794938668128412249088, -180732068045239143713224620097
OFFSET
0,3
LINKS
Eric Weisstein's World of Mathematics, j-Function
FORMULA
G.f.: Product_{k>0} (1 - x^k)^(-A302407(k)/4).
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 *)
CROSSREFS
(q*(j(q)-744))^(k/4): A305699 (k=-4), A305698 (k=-2), A305696 (k=-1), this sequence (k=1), A305697 (k=2).
Cf. A000521 (j), A014708 (j-744), A106203, A106205, A302407.
Sequence in context: A205625 A205360 A045085 * A305696 A184663 A184660
KEYWORD
sign
AUTHOR
Seiichi Manyama, Jun 08 2018
STATUS
approved