A386814 Coefficients in q-expansion of E_2^4 * E_6, where E_2 and E_6 are respectively the Eisenstein series A006352 and A013973.

1, -600, 34920, -157920, -23913240, 297457776, 3581091360, -13666238400, -458367407640, -4230394757880, -25457298127632, -118465178148000, -459399324219360, -1550209298287440, -4682236500918720, -12910757263315776, -32979872278342680, -78921341989665840, -178491991660958520

Offset: 0

Author

Vaclav Kotesovec, Aug 03 2025

Keywords

• sign

Crossrefs

Cf. A006352, A013973, A386785.

Programs

Mathematica

terms = 20;
E2[x_] = 1 - 24*Sum[k*x^k/(1 - x^k), {k, 1, terms}];
E6[x_] = 1 - 504*Sum[k^5*x^k/(1 - x^k), {k, 1, terms}];
CoefficientList[Series[E2[x]^4*E6[x], {x, 0, terms}], x]