A288989 Denominators of coefficients in expansion of E_14/E_12.

1, 691, 477481, 329939371, 227988105361, 157539780804451, 108859988535875641, 75222252078290067931, 51978576186098436940321, 35917196144594019925761811, 24818782535914467768701411401, 17149778732316897228172675278091

Offset: 0

Author

Seiichi Manyama, Jun 21 2017

Keywords

• nonn
• frac

Examples

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

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..200

Crossrefs

Cf. A288472 (numerators).

Cf. A029828, A058550 (E_14).

Programs

Mathematica

terms = 12;
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]& // Denominator (* Jean-François Alcover, Feb 26 2018 *)