%I #17 Feb 27 2018 02:57:13
%S 1,696,-34632,-167186976,-64422848328,-11387712944304,
%T -1037073232984608,-48892286706157632,-1378097272692189000,
%U -26188038166214133672,-364779879415169299632,-3952277018332870144608,-34798618196377082329632,-257403706082325167732976
%N Coefficients in q-expansion of E_4^5*E_6, where E_4 and E_6 are respectively the Eisenstein series A004009 and A013973.
%D G. E. Andrews and B. C. Berndt, Ramanujan's lost notebook, Part III, Springer, New York, 2012, See p. 208.
%H Seiichi Manyama, <a href="/A282048/b282048.txt">Table of n, a(n) for n = 0..1000</a>
%F -24 * A281959(n) = 657931 * a(n) - 457920000 * A037947(n) for n > 0.
%t terms = 14;
%t E4[x_] = 1 + 240*Sum[k^3*x^k/(1 - x^k), {k, 1, terms}];
%t E6[x_] = 1 - 504*Sum[k^5*x^k/(1 - x^k), {k, 1, terms}];
%t E4[x]^5*E6[x] + O[x]^terms // CoefficientList[#, x]& (* _Jean-François Alcover_, Feb 27 2018 *)
%Y Cf. A004009 (E_4), A013973 (E_6), A013974 (E_4*E_6 = E_10), A058550 (E_4^2*E_6 = E_14), A282000 (E_4^3*E_6), A282047 (E_4^4*E_6), this sequence (E_4^5*E_6).
%Y Cf. A037947, A281959, A281979.
%K sign
%O 0,2
%A _Seiichi Manyama_, Feb 05 2017