A288472 - OEIS

%I #27 Feb 26 2018 10:18:29

%S 1,-82104,-181275671592,1327007921039904,16726528971891002133912,

%T -212292443057353273999454544,-1528649681810950691089095375538848,

%U 27164473060529924968213209402868250688,139687438912977894660348148674573721130447640

%N Numerators of coefficients in expansion of E_14/E_12.

%H Seiichi Manyama, <a href="/A288472/b288472.txt">Table of n, a(n) for n = 0..182</a>

%e E_14/E_12 = 1 - 82104/691 * q - 181275671592/477481 * q^2  + 1327007921039904/329939371 * q^3 + 16726528971891002133912/227988105361 * q^4 + ... .

%t terms = 9;

%t E14[x_] = 1 - 24*Sum[k^13*x^k/(1 - x^k), {k, 1, terms}];

%t E12[x_] = 1 + (65520/691)*Sum[k^11*x^k/(1 - x^k), {k, 1, terms}];

%t E14[x]/E12[x] + O[x]^terms // CoefficientList[#, x]& // Numerator (* _Jean-François Alcover_, Feb 26 2018 *)

%Y Cf. A288989 (denominators).

%Y Cf. A029828, A058550 (E_14).

%K sign,frac

%O 0,2

%A _Seiichi Manyama_, Jun 21 2017