A386813 Coefficients in q-expansion of E_2^3 * E_4^2, where E_2 and E_4 are respectively the Eisenstein series A006352 and A004009.

1, 408, 28872, -2685984, 24039336, 776610576, -657274464, -112765274688, -1315204139160, -9184174537416, -47705529895632, -201727238619744, -730623451715808, -2340991131399984, -6787572064867008, -18105120840067776, -44991518932447512, -105189400371536208, -233200610257765464

Offset: 0

Author

Vaclav Kotesovec, Aug 03 2025

Keywords

• sign

Crossrefs

Cf. A006352, A004009, A386781, A386785.

Programs

Mathematica

terms = 20;
E2[x_] = 1 - 24*Sum[k*x^k/(1 - x^k), {k, 1, terms}];
E4[x_] = 1 + 240*Sum[k^3*x^k/(1 - x^k), {k, 1, terms}];
CoefficientList[Series[E2[x]^3*E4[x]^2, {x, 0, terms}], x]