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 A289571 Coefficients in expansion of q * Product_{n>=1} (1 - q^n)^24/E_6^(3/2). 1
 1, 732, 483336, 299831152, 179912034330, 105705360893664, 61212394149183536, 35074084087016521152, 19935701871161896669257, 11259521840932766778870360, 6326766973556024191050129528, 3540038281600931271753859693440 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Seiichi Manyama, Table of n, a(n) for n = 1..366 M. Eichler and D. Zagier, On the zeros of the Weierstrass P-function, Math. Ann. 258 (1981/82), 399-407. FORMULA Sum_{n>=1} a(n)/n^2 * exp(-2*Pi*n) = (Pi - log(5+2*sqrt(6)))/(72*sqrt(6)). a(n) ~ c * exp(2*Pi*n) * sqrt(n), where c = sqrt(2)/(432*sqrt(Pi)) = 0.001846955001858484620092342870066582724425271440578401192897804766993... - Vaclav Kotesovec, Jul 09 2017, updated Mar 05 2018 EXAMPLE G.f.: q + 732*q^2 + 483336*q^3 + 299831152*q^4 + 179912034330*q^5 + ... MATHEMATICA nmax = 20; CoefficientList[Series[Product[(1 - x^k)^24, {k, 1, nmax}] / (1 - 504*Sum[DivisorSigma[5, k]*x^k, {k, 1, nmax}])^(3/2), {x, 0, nmax}], x] (* Vaclav Kotesovec, Jul 09 2017 *) CROSSREFS Cf. A000594, A289570 (1/E_6^(3/2)). Sequence in context: A031705 A158396 A098263 * A098291 A255798 A044988 Adjacent sequences: A289568 A289569 A289570 * A289572 A289573 A289574 KEYWORD nonn AUTHOR Seiichi Manyama, Jul 08 2017 STATUS approved

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Last modified September 27 00:54 EDT 2023. Contains 365669 sequences. (Running on oeis4.)