A305699 Coefficients of 1/(q*(j(q)-744)) where j(q) is the elliptic modular invariant.

1, 0, -196884, -21493760, 37899009486, 8443309031424, -6829893232051144, -2454385780209696768, 1130962845597176786661, 621972524796731658731520, -164194903359722124902384028, -144508453392903668301846454272

Offset: 0

Author

Seiichi Manyama, Jun 08 2018

Keywords

• sign

Links

• Vaclav Kotesovec, Table of n, a(n) for n = 0..370
• Eric Weisstein's World of Mathematics, j-Function

Crossrefs

(q*(j(q)-744))^(k/4): A305698 (k=-2), A305696 (k=-1), A304020 (k=1), A305697 (k=2).

Cf. A000521 (j), A014708 (j-744), A066395, A289417.

Programs

Mathematica

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