|
|
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
|
|
|
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-François Alcover, Feb 26 2018 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
sign,frac
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|