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A282752 Coefficients in q-expansion of E_2^2*E_4^2, where E_2 and E_4 are respectively the Eisenstein series A006352 and A004009. 5

%I #12 Feb 27 2018 02:59:03

%S 1,432,39312,-1711296,-14159664,317412000,5783500224,47251354752,

%T 263098098000,1138294453104,4105673192160,12882680040384,

%U 36171259008192,92764213434144,220523509245312,491705284878720,1037366470830672,2086141009345632,4022101701933264

%N Coefficients in q-expansion of E_2^2*E_4^2, where E_2 and E_4 are respectively the Eisenstein series A006352 and A004009.

%H Seiichi Manyama, <a href="/A282752/b282752.txt">Table of n, a(n) for n = 0..1000</a>

%t terms = 19;

%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]^2*E4[x]^2 + O[x]^terms // CoefficientList[#, x]& (* _Jean-François Alcover_, Feb 27 2018 *)

%Y Cf. A282019 (E_2*E_4), A282208 (E_2^2*E_4), A282101 (E_2*E_4^2).

%K sign

%O 0,2

%A _Seiichi Manyama_, Feb 21 2017

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Last modified April 23 16:40 EDT 2024. Contains 371916 sequences. (Running on oeis4.)