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A277503
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E.g.f.: -LambertW(-arctan(x)).
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2
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0, 1, 2, 7, 48, 469, 5584, 80235, 1367040, 26840841, 595623680, 14752565807, 403579762688, 12084385256605, 393093330282496, 13804177426246995, 520496287836012544, 20973496057176404881, 899452315670554017792, 40903215737685386469847
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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(sin(2*exp(-1))/2) * exp(-n + 1/2) * n^(n-1) / tan(exp(-1))^n.
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MATHEMATICA
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CoefficientList[Series[-LambertW[-ArcTan[x]], {x, 0, 20}], x] * Range[0, 20]!
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PROG
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(PARI) x='x+O('x^50); concat([0], Vec(serlaplace(-lambertw(-atan(x))))) \\ G. C. Greubel, Nov 12 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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