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A282595 Coefficients in q-expansion of E_2^2*E_6, where E_2 and E_6 are respectively the Eisenstein series A006352 and A013973. 5
1, -552, 7992, 460896, -3450504, -88161264, -728085024, -3775195968, -14894175240, -48567693576, -137214605232, -347495426784, -804758753568, -1733365307184, -3511286411328, -6753825302976, -12422812497672, -21971174382288, -37567247938344 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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

MATHEMATICA

terms = 19;

E2[x_] = 1 - 24*Sum[k*x^k/(1 - x^k), {k, 1, terms}];

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

E2[x]^2*E6[x] + O[x]^terms // CoefficientList[#, x]& (* Jean-Fran├žois Alcover, Feb 27 2018 *)

CROSSREFS

Cf. A282018 (E_2^3), this sequence (E_2^2*E_6), A282576 (E_2*E_6^2), A282253 (E_6^3).

Sequence in context: A158636 A251161 A189549 * A290048 A023914 A035849

Adjacent sequences:  A282592 A282593 A282594 * A282596 A282597 A282598

KEYWORD

sign

AUTHOR

Seiichi Manyama, Feb 19 2017

STATUS

approved

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Last modified May 22 19:49 EDT 2022. Contains 353957 sequences. (Running on oeis4.)