A305697 Coefficients of (q*(j(q)-744))^(1/2) where j(q) is the elliptic modular invariant.

1, 0, 98442, 10746880, -4413263697, -1047821432832, 376869391313174, 150580578862513152, -35577391320709928685, -23497935558209789278208, 2998297272257446799809386, 3754973355232751413790773248, -112875007087323495790855645044

Offset: 0

Author

Seiichi Manyama, Jun 08 2018

Keywords

• sign

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..378
• Eric Weisstein's World of Mathematics, j-Function

Crossrefs

(q*(j(q)-744))^(k/4): A305699 (k=-4), A305698 (k=-2), A305696 (k=-1), A304020 (k=1), this sequence (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 *)