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 A289294 Coefficients in expansion of E_10^(1/2). 7
 1, -132, -76428, -12686784, -4629945804, -1581036186312, -643032851554368, -264454897726360704, -114830224962140965068, -50847479367845783084484, -23070238839261012248537688, -10629338992044523324726971456 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Seiichi Manyama, Table of n, a(n) for n = 0..367 FORMULA G.f.: Product_{n>=1} (1-q^n)^(A289024(n)/2). a(n) ~ c * exp(2*Pi*n) / n^(3/2), where c = -3^(3/2) * Pi^(5/2) / (2^(9/2) * Gamma(3/4)^12) = -0.3503612261281732359954402284478780636268623476628... - Vaclav Kotesovec, Jul 02 2017, updated Mar 05 2018 MATHEMATICA nmax = 20; s = 10; CoefficientList[Series[Sqrt[1 - 2*s/BernoulliB[s] * Sum[DivisorSigma[s - 1, k]*x^k, {k, 1, nmax}]], {x, 0, nmax}], x] (* Vaclav Kotesovec, Jul 02 2017 *) CROSSREFS E_k^(1/2): A289291 (k=2), A289292 (k=4), A289293 (k=6), A004009 (k=8), this sequence (k=10), A289295 (k=14). Cf. A013974 (E_10), A289024. Sequence in context: A227596 A267951 A268098 * A321975 A289568 A368024 Adjacent sequences: A289291 A289292 A289293 * A289295 A289296 A289297 KEYWORD sign AUTHOR Seiichi Manyama, Jul 02 2017 STATUS approved

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Last modified August 10 09:30 EDT 2024. Contains 375044 sequences. (Running on oeis4.)