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A282474 Coefficients in q-expansion of E_4^8, where E_4 is the Eisenstein series A004009.

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%I A282474 #11 Feb 27 2018 04:57:28
%S A282474 1,1920,1630080,803228160,253366181760,53205643249920,
%T A282474 7498254194403840,699684356363412480,42100628403784982400,
%U A282474 1614922125605880493440,42332208491309728078080,812648422343847344279040,12060223533365891970132480
%N A282474 Coefficients in q-expansion of E_4^8, where E_4 is the Eisenstein series A004009.
%H A282474 Seiichi Manyama, <a href="/A282474/b282474.txt">Table of n, a(n) for n = 0..1000</a>
%t A282474 terms = 13;
%t A282474 E4[x_] = 1 + 240*Sum[k^3*x^k/(1 - x^k), {k, 1, terms}];
%t A282474 E4[x]^8 + O[x]^terms // CoefficientList[#, x]& (* _Jean-François Alcover_, Feb 27 2018 *)
%Y A282474 Cf. A004009 (E_4), A008410 (E_4^2), A008411 (E_4^3), A282012 (E_4^4), A282015 (E_4^5), A282330 (E_4^6), A282402 (E_4^7), this sequence (E_4^8).
%K A282474 nonn
%O A282474 0,2
%A A282474 _Seiichi Manyama_, Feb 16 2017