A159513 Numerator of Hermite(n, 1/15).

1, 2, -446, -2692, 596716, 6039032, -1330532936, -18966452272, 4153245843856, 76585719866912, -16667474227882976, -377970687856869952, 81748056052306991296, 2204537826531711723392, -473817052252932475634816, -14836222411655648808639232, 3168592657883982912917729536

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..412

Formula

From G. C. Greubel, Jun 09 2018: (Start)

a(n) = 15^n * Hermite(n,1/15).

E.g.f.: exp(2*x-225*x^2).

a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(2/15)^(n-2k)/(k!*(n-2k)!)). (End)

Mathematica

Numerator[Table[HermiteH[n, 1/15], {n, 0, 50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 28 2011 *)

Prog

(PARI) a(n)=numerator(polhermite(n, 1/15)) \\ Charles R Greathouse IV, Jan 29 2016
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(2/15)^(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

Cf. A159512.

Sequence in context: A326364 A200951 A118710 * A012730 A012734 A363699

Adjacent sequences: A159510 A159511 A159512 * A159514 A159515 A159516

Keyword

sign,frac

Author

N. J. A. Sloane, Nov 12 2009

Status

approved