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A159539
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Numerator of Hermite(n, 11/17).
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3
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1, 22, -94, -27500, -442004, 53855912, 2462221624, -132603427088, -12879424086640, 329810916948832, 74254604271575584, -272705805989586112, -478110301690448457536, -8626939166846096792960, 3402728145231415580480384, 144669210933209758019200768
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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) = 17^n * Hermite(n, 11/17).
E.g.f.: exp(22*x-289*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(22/17)^(n-2*k)/(k!*(n-2*k)!)). (End)
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MATHEMATICA
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Table[17^n*HermiteH[n, 11/17], {n, 0, 50}] (* G. C. Greubel, Jul 02 2018 *)
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PROG
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(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(22/17)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jul 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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