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A282576 Coefficients in q-expansion of E_2*E_6^2, where E_2 and E_6 are respectively the Eisenstein series A006352 and A013973. 4
1, -1032, 244872, 11293536, -12738264, -6174312624, -106952602464, -1012788556608, -6677393391000, -34223823782376, -145162615601232, -530968614112224, -1722312703896288, -5059890748287984, -13673195356609728, -34406230066992576, -81397361282611992 (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 = 17;

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

CROSSREFS

Cf. A006352 (E_2), A013973 (E_6), A282096 (E_2*E_6).

Sequence in context: A224428 A283724 A168225 * A122716 A031609 A236804

Adjacent sequences:  A282573 A282574 A282575 * A282577 A282578 A282579

KEYWORD

sign

AUTHOR

Seiichi Manyama, Feb 18 2017

STATUS

approved

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Last modified February 17 18:14 EST 2020. Contains 332005 sequences. (Running on oeis4.)