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A159454
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Numerator of Hermite(n, 8/11).
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1
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1, 16, 14, -7520, -130484, 5191616, 240951496, -3683002496, -467099874160, -343305154304, 1011850643451616, 17020408768641536, -2421219872569937216, -88166785025254016000, 6206489158700958225536, 398012894204775937816576, -16161349338808063353630464
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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) = 11^n * Hermite(n,8/11).
E.g.f.: exp(16*x-121*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(16/11)^(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)*(16/11)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 15 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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