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A060918
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Expansion of e.g.f.: exp((-1)^k/k*LambertW(-x)^k)/(k-1)!, k=4.
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4
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1, 20, 360, 6860, 143570, 3321864, 84756000, 2372001720, 72384192540, 2394775746220, 85443353291296, 3271908306712500, 133893717061821080, 5832748749666611920, 269542701201588099840, 13172225935626444660144, 678788199609330554538000, 36790272488566573278647940
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OFFSET
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4,2
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COMMENTS
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LINKS
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FORMULA
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a(n) = (n-1)!/(k-1)!*Sum_{i=0..floor((n-k)/k)} 1/(i!*k^i)*n^(n-(i+1)*k)/(n-(i+1)*k)!, k=4.
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MATHEMATICA
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CoefficientList[Series[E^(1/4*LambertW[-x]^4)/6, {x, 0, 20}], x]* Range[0, 20]! (* Vaclav Kotesovec, Nov 27 2012 *)
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PROG
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(PARI) x='x+O('x^30); Vec(serlaplace(exp(lambertw(-x)^4/4)/3! - 1/3!)) \\ G. C. Greubel, Feb 19 2018
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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