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A159530
Numerator of Hermite(n, 2/17).
7
1, 4, -562, -6872, 947020, 19676144, -2658183224, -78869600288, 10439530923152, 406451155424320, -52680635240539424, -2560010219314727296, 324703437982090748608, 19055044633095311519488, -2363601454465048638962560, -163647826988867455371547136
OFFSET
0,2
LINKS
FORMULA
From G. C. Greubel, Jun 02 2018: (Start)
a(n) = 17^n * Hermite(n,2/17).
E.g.f.: exp(4*x-289*x^2).
a(n) = Sum_{k=0..floor(n/2)} (-1)^k*n!*(4/17)^(n-2k)/(k!*(n-2k)!). (End)
MATHEMATICA
Numerator[Table[HermiteH[n, 2/17], {n, 0, 50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 29 2011 *)
PROG
(PARI) /* needs version >= 2.4 */
A159530(n)=numerator(polhermite(n, 2/17)); /* Joerg Arndt, Apr 30 2011 */
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(4/17)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 09 2018
CROSSREFS
The denominators are the powers of 17, A001026.
Sequence in context: A332154 A202032 A267066 * A274470 A282196 A114764
KEYWORD
sign,frac
AUTHOR
N. J. A. Sloane, Nov 12 2009
STATUS
approved