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A159533
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Numerator of Hermite(n, 5/17).
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1
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1, 10, -478, -16340, 665452, 44432600, -1478830280, -168880559600, 4294541716880, 823849124759200, -14101714763617760, -4902865088744353600, 40630051579638182080, 34412572771327218390400, 38831520143870883754880, -278078223664141142377568000
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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, 5/17).
E.g.f.: exp(10*x-289*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(10/17)^(n-2*k)/(k!*(n-2*k)!)). (End)
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MATHEMATICA
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Table[17^n*HermiteH[n, 5/17], {n, 0, 30}] (* G. C. Greubel, Jul 09 2018 *)
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PROG
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(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(10/17)^(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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