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%I #13 Feb 27 2018 04:58:08
%S 1,936,331128,52972704,3355523352,16684536816,-1540796901408,
%T -39871325253312,-522168659242920,-4651083548616312,
%U -31647933913392432,-175516717881381408,-827283695234707872,-3413277291552455376,-12598120840018061376,-42296015537631706176
%N Coefficients in q-expansion of E_2*E_4^4, where E_2 and E_4 are respectively the Eisenstein series A006352 and A004009.
%H Seiichi Manyama, <a href="/A282546/b282546.txt">Table of n, a(n) for n = 0..1000</a>
%t terms = 16;
%t E2[x_] = 1 - 24*Sum[k*x^k/(1 - x^k), {k, 1, terms}];
%t E4[x_] = 1 + 240*Sum[k^3*x^k/(1 - x^k), {k, 1, terms}];
%t E2[x]* E4[x]^4 + O[x]^terms // CoefficientList[#, x]& (* _Jean-François Alcover_, Feb 27 2018 *)
%Y Cf. A006352 (E_2), A004009 (E_4), A282012 (E_4^4).
%Y Cf. A282019 (E_2*E_4), A282101 (E_2*E_4^2), A282549 (E_2*E_4^3), this sequence (E_2*E_4^4).
%K sign
%O 0,2
%A _Seiichi Manyama_, Feb 18 2017
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