A282402 Coefficients in q-expansion of E_4^7, where E_4 is the Eisenstein series A004009.

1, 1680, 1224720, 505659840, 129351117840, 21060890131680, 2160822606183360, 134717272385473920, 4957295423282269200, 119288258695393463760, 2051465861242156554720, 26894077218337493424960, 281803532524538902825920

Offset

0,2

Links

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

Mathematica

terms = 13;
E4[x_] = 1 + 240*Sum[k^3*x^k/(1 - x^k), {k, 1, terms}];
E4[x]^7 + O[x]^terms // CoefficientList[#, x]& (* Jean-François Alcover, Feb 27 2018 *)

Crossrefs

Cf. A004009 (E_4), A008410 (E_4^2), A008411 (E_4^3), A282012 (E_4^4), A282015 (E_4^5), A282330 (E_4^6), this sequence (E_4^7).

Sequence in context: A234439 A060095 A343459 * A156422 A172562 A172568

Adjacent sequences: A282399 A282400 A282401 * A282403 A282404 A282405

Keyword

sign

Author

Seiichi Manyama, Feb 14 2017

Status

approved