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A158968 Numerator of Hermite(n, 1/6). 2
1, 1, -17, -53, 865, 4681, -73169, -578717, 8640577, 91975825, -1307797649, -17863446149, 241080488353, 4099584856537, -52313249418065, -1085408633265389, 13039168709612161, 325636855090044193, -3664348770051277073, -109170689819225595605, 1144036589538311163361 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..450

FORMULA

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

a(n) = 3^n * Hermite(n, 1/6).

E.g.f.: exp(x - 9*x^2).

a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(1/3)^(n-2*k)/(k!*(n-2*k)!)). (End)

MATHEMATICA

Numerator[Table[HermiteH[n, 1/6], {n, 0, 50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 01 2011 *)

Table[3^n*HermiteH[n, 1/6], {n, 0, 50}] (* G. C. Greubel, Jul 10 2018 *)

PROG

(PARI) a(n)=numerator(polhermite(n, 1/6)) \\ Charles R Greathouse IV, Jan 29 2016

(MAGMA) [Numerator((&+[(-1)^k*Factorial(n)*(1/3)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jul 10 2018

CROSSREFS

Cf. A158811, A158954, A158960.

Sequence in context: A146397 A146405 A228244 * A072895 A300059 A097059

Adjacent sequences:  A158965 A158966 A158967 * A158969 A158970 A158971

KEYWORD

sign,frac

AUTHOR

N. J. A. Sloane, Nov 12 2009

STATUS

approved

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Last modified August 15 09:12 EDT 2018. Contains 313756 sequences. (Running on oeis4.)