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A159646
Numerator of Hermite(n, 8/19).
2
1, 16, -466, -30560, 520396, 96583616, -333291704, -423732891776, -5095269996400, 2365956862955776, 70964374243899616, -15946778562638308864, -818747517247263692096, 125062929190742088924160, 9685771063934690436799616, -1109163751237065987856615424
OFFSET
0,2
LINKS
FORMULA
From G. C. Greubel, Jul 10 2018: (Start)
a(n) = 19^n * Hermite(n, 8/19).
E.g.f.: exp(16*x - 361*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(16/19)^(n-2*k)/(k!*(n-2*k)!)). (End)
MATHEMATICA
Numerator[Table[HermiteH[n, 8/19], {n, 0, 30}]] (* Vladimir Joseph Stephan Orlovsky, May 20 2011 *)
Table[19^n*HermiteH[n, 8/19], {n, 0, 50}] (* G. C. Greubel, Jul 10 2018 *)
PROG
(PARI) a(n)=numerator(polhermite(n, 8/19)) \\ Charles R Greathouse IV, Jan 29 2016
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(16/19)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jul 10 2018
CROSSREFS
Sequence in context: A358569 A368772 A253446 * A113674 A281834 A299078
KEYWORD
sign,frac
AUTHOR
N. J. A. Sloane, Nov 12 2009
STATUS
approved