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A159535
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Numerator of Hermite(n, 7/17).
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3
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1, 14, -382, -21532, 360940, 54835144, -275424584, -194024223568, -1601971263088, 874740412095200, 20579820279916576, -4767882097991423936, -197596846711589525312, 30303674377706263065728, 1908994147478771376114560, -218491414999696281462267136
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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, 7/17).
E.g.f.: exp(14*x-289*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(14/17)^(n-2*k)/(k!*(n-2*k)!)). (End)
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MATHEMATICA
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Table[17^n*HermiteH[n, 7/17], {n, 0, 30}] (* G. C. Greubel, Jul 09 2018 *)
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PROG
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(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(14/17)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jul 09 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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