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A159509
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Numerator of Hermite(n, 5/14).
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4
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1, 5, -73, -1345, 14737, 600925, -4216505, -374426425, 1020390305, 298652268725, 593277094615, -289712837877425, -2088116897382095, 330261712856941325, 4311569491549495655, -431561222581976019625, -8495813265487638710975, 634208930681100205217125
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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) = 7^n * Hermite(n,5/14).
E.g.f.: exp(5*x-49*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(5/7)^(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)*(5/7)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 11 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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