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A289365 Coefficients in expansion of (E_4^3/E_6^2)^(1/288). 8
1, 6, 738, 402444, 138030342, 63625789080, 27583809566796, 12841110779519280, 5988752245273028886, 2859827345620916000346, 1377856546809576262931880, 671500179383482897207038108, 329754232921005442388958831684 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..100

FORMULA

G.f.: Product_{n>=1} (1-q^n)^(-A289367(n)).

a(n) ~ c * exp(2*Pi*n) / n^(143/144), where c = 0.006996573222376048761740852172176860601339180001130394247559283536008... - Vaclav Kotesovec, Jul 08 2017

MATHEMATICA

nmax = 20; CoefficientList[Series[((1 + 240*Sum[DivisorSigma[3, k]*x^k, {k, 1, nmax}])^3 / (1 - 504*Sum[DivisorSigma[5, k]*x^k, {k, 1, nmax}])^2)^(1/288), {x, 0, nmax}], x] (* Vaclav Kotesovec, Jul 08 2017 *)

CROSSREFS

Cf. A289209 (E_4^3/E_6^2), A289366, A289367.

Sequence in context: A202080 A271528 A232130 * A251810 A283787 A130688

Adjacent sequences:  A289362 A289363 A289364 * A289366 A289367 A289368

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Jul 04 2017

STATUS

approved

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Last modified February 22 15:12 EST 2018. Contains 299454 sequences. (Running on oeis4.)