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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 (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, 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.

Cf. A159521, A159529.

Sequence in context: A012770 A202032 A267066 * A274470 A282196 A114764

Adjacent sequences:  A159527 A159528 A159529 * A159531 A159532 A159533

KEYWORD

sign,frac

AUTHOR

N. J. A. Sloane, Nov 12 2009

STATUS

approved

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Last modified November 20 05:07 EST 2019. Contains 329323 sequences. (Running on oeis4.)