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A159013
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Numerator of Hermite(n, 6/7).
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1
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1, 12, 46, -1800, -35124, 284112, 20620104, 80383392, -13180790640, -221190067008, 8971176540384, 324420384152448, -5777883700704576, -450852976171733760, 1950788120636824704, 641979740755260615168, 4836098351726995067136
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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, 6/7).
E.g.f.: exp(12*x - 49*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(12/7)^(n-2*k)/(k!*(n-2*k)!)). (End)
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MATHEMATICA
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Table[7^n*HermiteH[n, 6/7], {n, 0, 30}] (* G. C. Greubel, Jul 14 2018~ *)
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PROG
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(PARI) x='x+O('x^30); Vec(serlaplace(exp(12*x - 49*x^2))) \\ G. C. Greubel, Jul 14 2018
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(12/7)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jul 14 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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