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A159534
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Numerator of Hermite(n, 6/17).
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2
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1, 12, -434, -19080, 523596, 50396112, -908439096, -185674985568, 1447444755600, 875930470333632, 2981558025372384, -5027099422223924352, -79281938992004709696, 33916578324641082789120, 1002723429481616382125184, -262420270649216245344056832
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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, 6/17).
E.g.f.: exp(12*x-289*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(12/17)^(n-2*k)/(k!*(n-2*k)!)). (End)
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MATHEMATICA
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Table[17^n*HermiteH[n, 6/17], {n, 0, 30}] (* G. C. Greubel, Jul 09 2018 *)
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PROG
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(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(12/17)^(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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