The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A282047 Coefficients in q-expansion of E_4^4*E_6, where E_4 and E_6 are respectively the Eisenstein series A004009 and A013973. 5
 1, 456, -146232, -133082976, -32170154808, -3378441902544, -155862776255328, -3969266446940352, -65538944782146360, -777506848190979672, -7105808014591457232, -52584752452485047328, -326903300701760852832, -1755591608260377411216 (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 -552 * A013969(n) = 77683 * a(n) - 35424000 * A037946(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]^4*E6[x] + O[x]^terms // CoefficientList[#, x]& (* Jean-François Alcover, Feb 26 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), this sequence (E_4^4*E_6), A282048 (E_4^5*E_6). Cf. A013969, A037946, A281956. Sequence in context: A282101 A037945 A278731 * A278433 A278551 A278796 Adjacent sequences:  A282044 A282045 A282046 * A282048 A282049 A282050 KEYWORD sign AUTHOR Seiichi Manyama, Feb 05 2017 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified November 27 12:51 EST 2021. Contains 349394 sequences. (Running on oeis4.)