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 A289568 Coefficients in expansion of 1/E_10^(1/2). 5
 1, 132, 93852, 35163744, 18119136156, 8462089683432, 4234179302847648, 2096050696254014016, 1057219212439789539228, 534730176137991079392036, 272470142855167873443179352, 139363825115618499934478625696 (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) / sqrt(n), where c = 0.4542595790370690606664796229968194763901027924111318430568304678613... = 2^(7/2) * Gamma(3/4)^12 / (3^(3/2) * Pi^(7/2)). - Vaclav Kotesovec, Jul 09 2017, updated Mar 07 2018 MATHEMATICA nmax = 20; CoefficientList[Series[(1 - 264*Sum[DivisorSigma[9, k]*x^k, {k, 1, nmax}])^(-1/2), {x, 0, nmax}], x] (* Vaclav Kotesovec, Jul 09 2017 *) CROSSREFS 1/E_k^(1/2): A289565 (k=2), A289566 (k=4), A289567 (k=6), A001943 (k=8), this sequence (k=10), A289569 (k=14). Cf. A285836 (1/E_10), A289024, A289294 (E_10^(1/2)). Sequence in context: A268098 A289294 A321975 * A368024 A114534 A147692 Adjacent sequences: A289565 A289566 A289567 * A289569 A289570 A289571 KEYWORD nonn AUTHOR Seiichi Manyama, Jul 08 2017 STATUS approved

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Last modified September 13 11:59 EDT 2024. Contains 375907 sequences. (Running on oeis4.)