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A288989
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Denominators of coefficients in expansion of E_14/E_12.
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9
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1, 691, 477481, 329939371, 227988105361, 157539780804451, 108859988535875641, 75222252078290067931, 51978576186098436940321, 35917196144594019925761811, 24818782535914467768701411401, 17149778732316897228172675278091
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OFFSET
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0,2
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LINKS
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EXAMPLE
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E_14/E_12 = 1 - 82104/691 * q - 181275671592/477481 * q^2 + 1327007921039904/329939371 * q^3 + 16726528971891002133912/227988105361 * q^4 + ... .
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MATHEMATICA
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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 *)
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CROSSREFS
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KEYWORD
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nonn,frac
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AUTHOR
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STATUS
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approved
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