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A160219
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Numerator of Hermite(n, 17/28).
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1
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1, 17, -103, -15079, -135215, 21345217, 627890089, -39529818871, -2394937325023, 83251577454065, 9864615699400249, -158647716730130567, -45233234080226093327, -22686119865309399391, 230122896835121911804745, 4036590672017890484538473
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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) = 14^n * Hermite(n, 17/28).
E.g.f.: exp(17*x - 196*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(17/14)^(n-2*k)/(k!*(n-2*k)!)). (End)
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EXAMPLE
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Numerators of 1, 17/14, -103/196, -15079/2744, -135215/38416
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MATHEMATICA
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Numerator[Table[HermiteH[n, 17/28], {n, 0, 50}]] (* G. C. Greubel, Sep 26 2018 *)
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PROG
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(PARI) x='x+O('x^30); Vec(serlaplace(exp(17*x - 196*x^2))) \\ G. C. Greubel, Sep 26 2018
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(17/14)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Sep 26 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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