A159450 Numerator of Hermite(n, 7/11).

1, 14, -46, -7420, -70484, 6195784, 172026616, -6587905744, -383643767920, 7383172769504, 938940545302816, -4722110467960256, -2565569278147539776, -22204961095108973440, 7760411493720634507136, 183876169102318085114624, -25596027354773450069298944

Offset: 0

Author

N. J. A. Sloane, Nov 12 2009

Keywords

• sign
• frac

Links

• G. C. Greubel, Table of n, a(n) for n = 0..435

Crossrefs

Cf. A159280.

Programs

Magma

[Numerator((&+[(-1)^k*Factorial(n)*(14/11)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 15 2018

Mathematica

Numerator[Table[HermiteH[n,7/11],{n,0,50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 12 2011 *)

PARI

a(n)=numerator(polhermite(n,7/11)) \\ Charles R Greathouse IV, Jan 29 2016

Formula

From G. C. Greubel, Jun 15 2018: (Start)

a(n) = 11^n * Hermite(n,7/11).

E.g.f.: exp(14*x-121*x^2).

a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(14/11)^(n-2*k)/(k!*(n-2*k)!)). (End)