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A159564
Numerator of Hermite(n, 1/19).
9
1, 2, -718, -4324, 1546540, 15580792, -5551847816, -78599686576, 27901839488912, 509795468640800, -180286562061668576, -4041296407709913152, 1423753283078352004288, 37861298642555391557504, -13287625717688301129132160, -409277258114326500121514752
OFFSET
0,2
LINKS
FORMULA
From G. C. Greubel, Jun 02 2018: (Start)
a(n) = 19^n * Hermite(n,1/19).
E.g.f.: exp(2*x-281*x^2).
a(n) = Sum_{k=0..floor(n/2)} (-1)^k*n!*(2/19)^(n-2k)/(k!*(n-2k)!). (End)
MATHEMATICA
Numerator[Table[HermiteH[n, 1/19], {n, 0, 30}]] (* Vladimir Joseph Stephan Orlovsky, May 20 2011 *)
PROG
(PARI) a(n)=numerator(polhermite(n, 1/19)) \\ Charles R Greathouse IV, Jan 29 2016
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(2/19)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 02 2018
CROSSREFS
Sequence in context: A062665 A256669 A361451 * A185667 A119781 A362187
KEYWORD
sign,frac
AUTHOR
N. J. A. Sloane, Nov 12 2009
STATUS
approved