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A282096

Coefficients in q-expansion of E_2*E_6, where E_2, E_6 are the Eisenstein series shown in A006352, A013973, respectively.

1, -528, -4608, 312384, 3664416, 21745440, 86782464, 276703872, 741794400, 1758969264, 3797729280, 7568097984, 14222957952, 25253852064, 43166426112, 70518360960, 112406614752, 172631876832, 260795119104, 381636168000, 552633117120, 778105665024

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OFFSET

0,2

LINKS

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

MATHEMATICA

terms = 22;

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] + O[x]^terms // CoefficientList[#, x]& (* Jean-François Alcover, Feb 26 2018 *)

CROSSREFS

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

Cf. A281374 (E_2^2), A282019 (E_2*E_4), this sequence (E_2*E_6), A282101 (E_2*E_8), A282102 (E_2*E_10).

Sequence in context: A076580 A304512 A037944 * A386785 A223253 A233103

Adjacent sequences: A282093 A282094 A282095 * A282097 A282098 A282099

KEYWORD

sign

AUTHOR

Seiichi Manyama, Feb 06 2017

STATUS

approved

URL: https://oeis.org/A282096

⇱ A282096 - OEIS