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A282549 Coefficients in q-expansion of E_2*E_4^3, where E_2 and E_4 are respectively the Eisenstein series A006352 and A004009. 4
1, 696, 161928, 12599904, -22912728, -6132581424, -107015308128, -1012991092032, -6676225539480, -34225591158312, -145164618698832, -530958452207328, -1722320395791072, -5059903726594416, -13673185634909376, -34406198518205376, -81397333990275864 (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}];

E4[x_] = 1 + 240*Sum[k^3*x^k/(1 - x^k), {k, 1, terms}];

E2[x]*E4[x]^3 + O[x]^terms // CoefficientList[#, x]& (* Jean-Fran├žois Alcover, Feb 27 2018 *)

CROSSREFS

Cf. A282019 (E_2*E_4), A282101 (E_2*E_4^2), this sequence (E_2*E_4^3), A282546 (E_2*E_4^4).

Sequence in context: A222782 A282048 A163008 * A069330 A218156 A160206

Adjacent sequences:  A282546 A282547 A282548 * A282550 A282551 A282552

KEYWORD

sign

AUTHOR

Seiichi Manyama, Feb 18 2017

STATUS

approved

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Last modified September 28 07:19 EDT 2022. Contains 357063 sequences. (Running on oeis4.)