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A037945
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Coefficients of unique normalized cusp form Delta_20 of weight 20 for full modular group.
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7
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1, 456, 50652, -316352, -2377410, 23097312, -16917544, -383331840, 1403363637, -1084098960, -16212108, -16023861504, 50421615062, -7714400064, -120420571320, -8939761664, 225070099506, 639933818472
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OFFSET
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1,2
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LINKS
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FORMULA
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G.f.: (E_4(q)^3 - E_6(q)^2)/12^3 * E_4(q)^2. - Seiichi Manyama, Jun 09 2017
G.f.: 691/(1728*441) * (E_8(q)*E_12(q) - E_10(q)^2). - Seiichi Manyama, Jul 25 2017
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EXAMPLE
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q^2 + 456*q^4 + ...
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MATHEMATICA
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terms = 18;
E4[x_] = 1 + 240*Sum[k^3*x^k/(1 - x^k), {k, 1, terms+1}];
E6[x_] = 1 - 504*Sum[k^5*x^k/(1 - x^k), {k, 1, terms+1}];
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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