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A282331 Coefficients in q-expansion of E_6^4, where E_6 is the Eisenstein series A013973. 3
1, -2016, 1457568, -411997824, 16227967392, 6497071680960, 440015323483008, 15172068869975808, 327221898778968480, 4913597307075535008, 55440561879404210880, 496424806634688962688, 3672744471642078903168, 23148319448757751932096 (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.

FORMULA

E6(q)^4 = (1 - 504 Sum_{i>=1} sigma_5(i)q^i)^4 where sigma_5(n) is A001160.

MATHEMATICA

terms = 14;

E6[x_] = 1 - 504*Sum[k^5*x^k/(1 - x^k), {k, 1, terms}];

E6[x]^4 + O[x]^terms // CoefficientList[#, x]& (* Jean-Fran├žois Alcover, Feb 27 2018 *)

CROSSREFS

Cf. A013973 (E_6), A280869 (E_6^2), A282253 (E_6^3), this sequence (E_6^4).

Cf. A282210 (E_2^4), A282012 (E_4^4), this sequence (E_6^4).

Sequence in context: A166800 A223216 A110851 * A183768 A119517 A252334

Adjacent sequences:  A282328 A282329 A282330 * A282332 A282333 A282334

KEYWORD

sign

AUTHOR

Seiichi Manyama, Feb 12 2017

STATUS

approved

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Last modified January 22 07:31 EST 2022. Contains 350481 sequences. (Running on oeis4.)