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A294182 Coefficients in expansion of E_4/E_6. 3

%I

%S 1,744,393768,210962976,112966533672,60492691156464,32393330061359904,

%T 17346357971979746880,9288829947058862457384,

%U 4974090926254339741926216,2663584184830281769743846768,1426327104764356980195826984032

%N Coefficients in expansion of E_4/E_6.

%H Seiichi Manyama, <a href="/A294182/b294182.txt">Table of n, a(n) for n = 0..366</a>

%F Convolution inverse of A288261.

%F a(n) ~ 8 * Gamma(3/4)^8 * exp(2*Pi*n) / (3*Pi^2). - _Vaclav Kotesovec_, Jun 03 2018

%t terms = 12;

%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]/E6[x] + O[x]^terms // CoefficientList[#, x]& (* _Jean-Fran├žois Alcover_, Feb 23 2018 *)

%Y Cf. A000706, A004009 (E_4), A013973 (E_6), A288261.

%Y E_k/E_{k+2}: A294181 (k=2), this sequence (k=4), A294183 (k=6).

%K nonn

%O 0,2

%A _Seiichi Manyama_, Feb 11 2018

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Last modified September 21 13:37 EDT 2019. Contains 327253 sequences. (Running on oeis4.)