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A282012
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Coefficients in q-expansion of E_4^4, where E_4 is the Eisenstein series shown in A004009.
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13
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1, 960, 354240, 61543680, 4858169280, 137745912960, 2120861041920, 21423820362240, 158753769048000, 928983317334720, 4512174992346240, 18847874280625920, 69518972236842240, 230951926208599680, 701949379778818560, 1975788826748167680
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OFFSET
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0,2
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COMMENTS
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Also coefficients in q-expansion of E_8^2.
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REFERENCES
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G. E. Andrews and B. C. Berndt, Ramanujan's lost notebook, Part III, Springer, New York, 2012, See p. 207.
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LINKS
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FORMULA
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G.f.: (1 + 240 Sum_{i>=1} i^3 q^i/(1-q^i))^4.
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MATHEMATICA
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terms = 16;
E4[x_] = 1 + 240*Sum[k^3*x^k/(1 - x^k), {k, 1, terms}];
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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