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A288472 Numerators of coefficients in expansion of E_14/E_12. 3
1, -82104, -181275671592, 1327007921039904, 16726528971891002133912, -212292443057353273999454544, -1528649681810950691089095375538848, 27164473060529924968213209402868250688, 139687438912977894660348148674573721130447640 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..182

EXAMPLE

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

MATHEMATICA

terms = 9;

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

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

E14[x]/E12[x] + O[x]^terms // CoefficientList[#, x]& // Numerator (* Jean-Fran├žois Alcover, Feb 26 2018 *)

CROSSREFS

Cf. A288989 (denominators).

Cf. A029828, A058550 (E_14).

Sequence in context: A253964 A253760 A204667 * A162184 A298430 A262794

Adjacent sequences:  A288469 A288470 A288471 * A288473 A288474 A288475

KEYWORD

sign,frac

AUTHOR

Seiichi Manyama, Jun 21 2017

STATUS

approved

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Last modified April 16 04:49 EDT 2021. Contains 343030 sequences. (Running on oeis4.)