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 A282012 Coefficients in q-expansion of E_4^4, where E_4 is the Eisenstein series shown in A004009. 12
 1, 960, 354240, 61543680, 4858169280, 137745912960, 2120861041920, 21423820362240, 158753769048000, 928983317334720, 4512174992346240, 18847874280625920, 69518972236842240, 230951926208599680, 701949379778818560, 1975788826748167680 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Also coefficients in q-expansion of E_8^2. REFERENCES G. E. Andrews and B. C. Berndt, Ramanujan's lost notebook, Part III, Springer, New York, 2012, See p. 207. LINKS Seiichi Manyama, Table of n, a(n) for n = 0..1000 FORMULA G.f.: (1 + 240 Sum_{i>=1} i^3 q^i/(1-q^i))^4. 16320 * A013963(n) = 3617 * a(n) - 3456000 * A027364(n) for n > 0. MATHEMATICA terms = 16; E4[x_] = 1 + 240*Sum[k^3*x^k/(1 - x^k), {k, 1, terms}]; E4[x]^4 + O[x]^terms // CoefficientList[#, x]& (* Jean-François Alcover, Feb 26 2018 *) CROSSREFS Cf. A004009 (E_4), A008410 (E_4^2), A008411 (E_4^3), this sequence (E_4^4), A282015 (E_4^5). Cf. A281374 (E_2^2), A008410 (E_4^2), A280869 (E_6^2), this sequence (E_8^2), A282292 (E_10^2). Cf. A013963, A027364, A281876. Sequence in context: A203732 A157851 A278011 * A147883 A166964 A316337 Adjacent sequences:  A282009 A282010 A282011 * A282013 A282014 A282015 KEYWORD nonn AUTHOR Seiichi Manyama, Feb 04 2017 STATUS approved

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Last modified November 24 18:11 EST 2020. Contains 338616 sequences. (Running on oeis4.)