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A282332 Coefficients in q-expansion of E_4^3*E_6^2, where E_4 and E_6 are respectively the Eisenstein series A004009 and A013973. 5
1, -288, -325728, 11700864, 35176468896, 6601058210880, 438061091013504, 15173572442740992, 327251435243536800, 4913611331706352224, 55439979246339307200, 496425441863436557184, 3672747479405396310912, 23148319784349233726784 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..1000

Eric Weisstein's World of Mathematics, Eisenstein Series.

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]^3*E6[x]^2 + O[x]^terms // CoefficientList[#, x]& (* Jean-Fran├žois Alcover, Feb 27 2018 *)

CROSSREFS

Cf. A280869 (E_6^2), A282287 (E_4*E_6^2), A282292 (E_4^2*E_6^2 = E_10^2), this sequence (E_4^3*E_6^2).

Sequence in context: A008695 A047805 A173150 * A291187 A296608 A306651

Adjacent sequences:  A282329 A282330 A282331 * A282333 A282334 A282335

KEYWORD

sign

AUTHOR

Seiichi Manyama, Feb 12 2017

STATUS

approved

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Last modified January 20 10:18 EST 2022. Contains 350471 sequences. (Running on oeis4.)