A282210 Coefficients in q-expansion of E_2^4, where E_2 is the Eisenstein series shown in A006352.

1, -96, 3168, -34944, -107808, 1955520, 16829568, 76708608, 258593760, 715480608, 1729546560, 3771497088, 7581237888, 14296261056, 25520442624, 43590539520, 71582414304, 113752634688, 175604039136, 264097115520, 388619703360, 559658001408, 792716685696

Offset: 0

Author

Seiichi Manyama, Feb 09 2017

Keywords

• sign

Links

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

Crossrefs

Cf. A006352 (E_2), A281374 (E_2^2), A282018 (E_2^3), this sequence (E_2^4).

Programs

Mathematica

terms = 23;
E2[x_] = 1 - 24*Sum[k*x^k/(1 - x^k), {k, 1, terms}];
E2[x]^4 + O[x]^terms // CoefficientList[#, x]& (* Jean-François Alcover, Feb 27 2018 *)