A282780 Coefficients in q-expansion of E_2^3*E_6, where E_2 and E_6 are respectively the Eisenstein series A006352 and A013973.

1, -576, 21168, 308736, -15034608, -39208320, 1590712128, 20299281408, 137107250640, 665776675008, 2599125524640, 8637331788288, 25350641846208, 67336913702016, 164742803455104, 376186503674880, 809848148403024, 1657081821679488, 3243133560510576

Offset: 0

Author

Seiichi Manyama, Feb 21 2017

Keywords

• sign

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..1000

Crossrefs

Cf. A282096 (E_2*E_6), A282595 (E_2^2*E_6), this sequence (E_2^3*E_6).

Programs

Mathematica

terms = 19;
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}];
E2[x]^3*E6[x] + O[x]^terms // CoefficientList[#, x]& (* Jean-François Alcover, Feb 27 2018 *)