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A282474 Coefficients in q-expansion of E_4^8, where E_4 is the Eisenstein series A004009. 2

%I #11 Feb 27 2018 04:57:28

%S 1,1920,1630080,803228160,253366181760,53205643249920,

%T 7498254194403840,699684356363412480,42100628403784982400,

%U 1614922125605880493440,42332208491309728078080,812648422343847344279040,12060223533365891970132480

%N Coefficients in q-expansion of E_4^8, where E_4 is the Eisenstein series A004009.

%H Seiichi Manyama, <a href="/A282474/b282474.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 E4[x]^8 + O[x]^terms // CoefficientList[#, x]& (* _Jean-François Alcover_, Feb 27 2018 *)

%Y Cf. A004009 (E_4), A008410 (E_4^2), A008411 (E_4^3), A282012 (E_4^4), A282015 (E_4^5), A282330 (E_4^6), A282402 (E_4^7), this sequence (E_4^8).

%K nonn

%O 0,2

%A _Seiichi Manyama_, Feb 16 2017

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Last modified April 25 05:18 EDT 2024. Contains 371964 sequences. (Running on oeis4.)