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A348468
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Expansion of e.g.f. sqrt(exp(x)*(2-exp(x))).
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3
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1, 0, -1, -3, -10, -45, -271, -2058, -18775, -199335, -2410516, -32683563, -490870315, -8087188200, -144994236661, -2810079139143, -58536519252130, -1304198088413265, -30946462816602331, -779104979758256298, -20742005411397108595, -582214473250983046155, -17184302765073000634276
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OFFSET
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0,4
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LINKS
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FORMULA
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a(n) ~ -sqrt(2) * n^(n-1) / (log(2)^(n - 1/2) * exp(n)). - Vaclav Kotesovec, Oct 21 2021
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MATHEMATICA
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m = 22; Range[0, m]! * CoefficientList[Series[Sqrt[Exp[x]*(2 - Exp[x])], {x, 0, m}], x] (* Amiram Eldar, Oct 19 2021 *)
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PROG
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(PARI) my(x='x+O('x^25)); Vec(serlaplace(sqrt(exp(x)*(2-exp(x)))))
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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