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A294182 Coefficients in expansion of E_4/E_6. 3
1, 744, 393768, 210962976, 112966533672, 60492691156464, 32393330061359904, 17346357971979746880, 9288829947058862457384, 4974090926254339741926216, 2663584184830281769743846768, 1426327104764356980195826984032 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..366

FORMULA

Convolution inverse of A288261.

a(n) ~ 8 * Gamma(3/4)^8 * exp(2*Pi*n) / (3*Pi^2). - Vaclav Kotesovec, Jun 03 2018

MATHEMATICA

terms = 12;

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

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

E4[x]/E6[x] + O[x]^terms // CoefficientList[#, x]& (* Jean-Fran├žois Alcover, Feb 23 2018 *)

CROSSREFS

Cf. A000706, A004009 (E_4), A013973 (E_6), A288261.

E_k/E_{k+2}: A294181 (k=2), this sequence (k=4), A294183 (k=6).

Sequence in context: A178451 A066395 A161557 * A091406 A066396 A099819

Adjacent sequences:  A294179 A294180 A294181 * A294183 A294184 A294185

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Feb 11 2018

STATUS

approved

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Last modified August 18 15:00 EDT 2019. Contains 326106 sequences. (Running on oeis4.)