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A080896
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Expansion of the exponential series exp( x * T(x) ) = exp( x / sqrt(1 - 2*x - 3*x^2) ), where T(x) is the ordinary generating series of the central trinomial coefficients (A002426).
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1
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1, 1, 3, 25, 265, 3741, 64051, 1298053, 30295665, 800411545, 23601417571, 768200763441, 27352316065273, 1057402991121205, 44102326806885075, 1973793512480683741, 94345589402816289121, 4796647490592139950513
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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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E.g.f.: exp(x/sqrt(1 - 2*x - 3*x^2)).
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MATHEMATICA
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With[{nn=20}, CoefficientList[Series[Exp[x/Sqrt[1-2 x-3x^2]], {x, 0, nn}], x]Range[0, nn]!] (* Harvey P. Dale, Sep 08 2011 *)
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PROG
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(PARI) x='x + O('x^50); Vec(serlaplace(exp(x/sqrt(1 - 2*x - 3*x^2)))) \\ G. C. Greubel, Feb 27 2017
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CROSSREFS
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KEYWORD
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easy,nice,nonn
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AUTHOR
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STATUS
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approved
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