A159543 Numerator of Hermite(n, 15/17).

1, 30, 322, -25020, -1308948, 18577800, 4340193720, 65778001200, -15587083755120, -771769990202400, 57930909988062240, 6198757843011739200, -182361990413747545920, -48465444111541849468800, -83695327377356424021120, 389671513929275953180896000

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..404

Formula

From G. C. Greubel, Jul 02 2018: (Start)

a(n) = 17^n * Hermite(n, 15/17).

E.g.f.: exp(30*x-289*x^2).

a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(30/17)^(n-2*k)/(k!*(n-2*k)!)). (End)

Mathematica

Numerator[Table[HermiteH[n, 15/17], {n, 0, 30}]] (* Vladimir Joseph Stephan Orlovsky, May 08 2011 *)
Table[17^n*HermiteH[n, 15/17], {n, 0, 50}] (* G. C. Greubel, Jul 02 2018 *)

Prog

(PARI) a(n)=numerator(polhermite(n, 15/17)) \\ Charles R Greathouse IV, Jan 29 2016
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(30/17)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jul 02 2018

Crossrefs

Cf. A159541, A159542.

Sequence in context: A074994 A134287 A141216 * A362521 A227689 A006859

Adjacent sequences: A159540 A159541 A159542 * A159544 A159545 A159546

Keyword

sign,frac

Author

N. J. A. Sloane, Nov 12 2009

Status

approved