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A159533
Numerator of Hermite(n, 5/17).
1
1, 10, -478, -16340, 665452, 44432600, -1478830280, -168880559600, 4294541716880, 823849124759200, -14101714763617760, -4902865088744353600, 40630051579638182080, 34412572771327218390400, 38831520143870883754880, -278078223664141142377568000
OFFSET
0,2
LINKS
FORMULA
From G. C. Greubel, Jul 09 2018: (Start)
a(n) = 17^n * Hermite(n, 5/17).
E.g.f.: exp(10*x-289*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(10/17)^(n-2*k)/(k!*(n-2*k)!)). (End)
MATHEMATICA
Numerator[Table[HermiteH[n, 5/17], {n, 0, 50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 29 2011 *)
Table[17^n*HermiteH[n, 5/17], {n, 0, 30}] (* G. C. Greubel, Jul 09 2018 *)
PROG
(PARI) a(n)=numerator(polhermite(n, 5/17)) \\ Charles R Greathouse IV, Jan 29 2016
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(10/17)^(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
CROSSREFS
Sequence in context: A289030 A323205 A257133 * A274760 A173157 A035320
KEYWORD
sign,frac
AUTHOR
N. J. A. Sloane, Nov 12 2009
STATUS
approved