A305698 Coefficients of (q*(j(q)-744))^(-1/2) where j(q) is the elliptic modular invariant.

1, 0, -98442, -10746880, 14104091061, 3163710154752, -2084259398665810, -764175960909112320, 294840080134539846210, 168738710694984764315648, -36893258480144387666915136, -35102639613834243676336481280

Offset: 0

Author

Seiichi Manyama, Jun 08 2018

Keywords

• sign

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..377
• Eric Weisstein's World of Mathematics, j-Function

Crossrefs

(q*(j(q)-744))^(k/4): A305699 (k=-4), this sequence (k=-2), A305696 (k=-1), A304020 (k=1), A305697 (k=2).

Cf. A000521 (j), A014708 (j-744).

Programs

Mathematica

CoefficientList[Series[((2^16 + x*QPochhammer[-1, x]^24)^3/(2*QPochhammer[-1, x])^24 - 744*x)^(-1/2), {x, 0, 15}], x] (* Vaclav Kotesovec, Jun 09 2018 *)