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A159543 Numerator of Hermite(n, 15/17). 3
1, 30, 322, -25020, -1308948, 18577800, 4340193720, 65778001200, -15587083755120, -771769990202400, 57930909988062240, 6198757843011739200, -182361990413747545920, -48465444111541849468800, -83695327377356424021120, 389671513929275953180896000 (list; graph; refs; listen; history; text; internal format)
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 * A227689 A006859 A107967

Adjacent sequences:  A159540 A159541 A159542 * A159544 A159545 A159546

KEYWORD

sign,frac

AUTHOR

N. J. A. Sloane, Nov 12 2009

STATUS

approved

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Last modified October 13 16:50 EDT 2019. Contains 327968 sequences. (Running on oeis4.)