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A282403 Coefficients in q-expansion of E_4^4*E_6^2, where E_4 and E_6 are respectively the Eisenstein series A004009 and A013973. 3

%I #13 Feb 27 2018 02:58:22

%S 1,-48,-392688,-67089216,37279185936,15066490704480,2098369148842944,

%T 134803101024250752,4960096515113176080,119289357755096403984,

%U 2051412780505054295520,26894040676649639982144,281804014682888704101312

%N Coefficients in q-expansion of E_4^4*E_6^2, where E_4 and E_6 are respectively the Eisenstein series A004009 and A013973.

%H Seiichi Manyama, <a href="/A282403/b282403.txt">Table of n, a(n) for n = 0..1000</a>

%t terms = 13;

%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]^4* E6[x]^2 + O[x]^terms // CoefficientList[#, x]& (* _Jean-François Alcover_, Feb 27 2018 *)

%Y Cf. A280869 (E_6^2), A282287 (E_4*E_6^2), A282292 (E_4^2*E_6^2 = E_10^2), A282332 (E_4^3*E_6^2), this sequence (E_4^4*E_6^2).

%K sign

%O 0,2

%A _Seiichi Manyama_, Feb 14 2017

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Last modified March 28 15:38 EDT 2024. Contains 371254 sequences. (Running on oeis4.)