cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A304020 Coefficients of (q*(j(q)-744))^(1/4) where j(q) is the elliptic modular invariant.

Original entry on oeis.org

1, 0, 49221, 5373440, -3417985269, -788396806656, 342234419865236, 132462307415526912, -36238724753334630039, -22802599804762047656960, 3430044089325166785294348, 3917150794938668128412249088, -180732068045239143713224620097
Offset: 0

Views

Author

Seiichi Manyama, Jun 08 2018

Keywords

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.

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).