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%I A282287 #12 Feb 26 2018 17:23:33
%S A282287 1,-768,-19008,67329024,4834170816,137655866880,2122110676224,
%T A282287 21418943158272,158760815970240,928988742914304,4512155542392960,
%U A282287 18847838706545664,69519052583699712,230952254655327744,701948326302761472,1975789128222443520
%N A282287 Coefficients in q-expansion of E_4*E_6^2, where E_4 and E_6 are respectively the Eisenstein series A004009 and A013973.
%H A282287 Seiichi Manyama, <a href="/A282287/b282287.txt">Table of n, a(n) for n = 0..1000</a>
%t A282287 terms = 16;
%t A282287 E4[x_] = 1 + 240*Sum[k^3*x^k/(1 - x^k), {k, 1, terms}];
%t A282287 E6[x_] = 1 - 504*Sum[k^5*x^k/(1 - x^k), {k, 1, terms}];
%t A282287 E4[x]*E6[x]^2 + O[x]^terms // CoefficientList[#, x]& (* _Jean-François Alcover_, Feb 26 2018 *)
%Y A282287 Cf. A004009 (E_4), A013973 (E_6), A008411 (E_4^3), A058550 (E_4^2*E_6 = E_14), this sequence (E_4*E_6^2), A282253 (E_6^3).
%Y A282287 Cf. A282102 (E_2*E_10), A058550 (E_4*E_10), this sequence (E_6*E_10).
%K A282287 sign
%O A282287 0,2
%A A282287 _Seiichi Manyama_, Feb 11 2017

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