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 A282048 Coefficients in q-expansion of E_4^5*E_6, where E_4 and E_6 are respectively the Eisenstein series A004009 and A013973. 5
 1, 696, -34632, -167186976, -64422848328, -11387712944304, -1037073232984608, -48892286706157632, -1378097272692189000, -26188038166214133672, -364779879415169299632, -3952277018332870144608, -34798618196377082329632, -257403706082325167732976 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 REFERENCES G. E. Andrews and B. C. Berndt, Ramanujan's lost notebook, Part III, Springer, New York, 2012, See p. 208. LINKS Seiichi Manyama, Table of n, a(n) for n = 0..1000 FORMULA -24 * A281959(n) = 657931 * a(n) - 457920000 * A037947(n) for n > 0. MATHEMATICA terms = 14; E4[x_] = 1 + 240*Sum[k^3*x^k/(1 - x^k), {k, 1, terms}]; E6[x_] = 1 - 504*Sum[k^5*x^k/(1 - x^k), {k, 1, terms}]; E4[x]^5*E6[x] + O[x]^terms // CoefficientList[#, x]& (* Jean-François Alcover, Feb 27 2018 *) CROSSREFS Cf. A004009 (E_4), A013973 (E_6), A013974 (E_4*E_6 = E_10), A058550 (E_4^2*E_6 = E_14), A282000 (E_4^3*E_6), A282047 (E_4^4*E_6), this sequence (E_4^5*E_6). Cf. A037947, A281959, A281979. Sequence in context: A048426 A209731 A222782 * A163008 A282549 A069330 Adjacent sequences: A282045 A282046 A282047 * A282049 A282050 A282051 KEYWORD sign AUTHOR Seiichi Manyama, Feb 05 2017 STATUS approved

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Last modified May 29 13:50 EDT 2024. Contains 372949 sequences. (Running on oeis4.)