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A159564
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Numerator of Hermite(n, 1/19).
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9
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1, 2, -718, -4324, 1546540, 15580792, -5551847816, -78599686576, 27901839488912, 509795468640800, -180286562061668576, -4041296407709913152, 1423753283078352004288, 37861298642555391557504, -13287625717688301129132160, -409277258114326500121514752
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = 19^n * Hermite(n,1/19).
E.g.f.: exp(2*x-281*x^2).
a(n) = Sum_{k=0..floor(n/2)} (-1)^k*n!*(2/19)^(n-2k)/(k!*(n-2k)!). (End)
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MATHEMATICA
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PROG
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(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(2/19)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 02 2018
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CROSSREFS
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KEYWORD
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sign,frac
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AUTHOR
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STATUS
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approved
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