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A159497
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Numerator of Hermite(n, 5/13).
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1
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1, 10, -238, -9140, 149932, 13856600, -114819080, -29249375600, -20831812720, 78881993495200, 852190309246240, -258099234921313600, -5749435918990656320, 989356137650941398400, 35156582804554357854080, -4330067415318711118688000, -221544548972277705507065600
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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) = 13^n * Hermite(n,5/13).
E.g.f.: exp(10*x-169*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(10/13)^(n-2*k)/(k!*(n-2*k)!)). (End)
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MATHEMATICA
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PROG
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(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(10/13)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 12 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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