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A277501
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E.g.f.: -LambertW(-tanh(x)).
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2
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0, 1, 2, 7, 48, 461, 5488, 79171, 1347328, 26396185, 585025024, 14473813311, 395433660416, 11824374817893, 384118189803520, 13470784014801787, 507233444671848448, 20411081546839908401, 874130806090067607552, 39696948293418345150327
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OFFSET
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0,3
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LINKS
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FORMULA
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a(n) ~ sqrt(1-exp(-2)) * 2^(n-1/2) * (log((exp(1)+1)/(exp(1)-1)))^(1/2-n) * exp(1/2-n) * n^(n-1).
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MATHEMATICA
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CoefficientList[Series[-LambertW[-Tanh[x]], {x, 0, 20}], x] * Range[0, 20]!
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PROG
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(PARI) x='x+O('x^10); concat([0], Vec(serlaplace(-lambertw(-tanh(x))))) \\ G. C. Greubel, Nov 09 2017
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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