A159540 Numerator of Hermite(n, 12/17).

1, 24, -2, -27792, -663540, 48330144, 3077554056, -93747642048, -14701727119728, 80647645956480, 78413927979780576, 1415790877886279424, -464576773026174196032, -20969768081647414789632, 2987555438559134954033280, 241388693842110119374500864

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, 12/17).

E.g.f.: exp(24*x-289*x^2).

a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(24/17)^(n-2*k)/(k!*(n-2*k)!)). (End)

Mathematica

Numerator[Table[HermiteH[n, 12/17], {n, 0, 30}]] (* Vladimir Joseph Stephan Orlovsky, May 08 2011 *)
Table[17^n*HermiteH[n, 12/17], {n, 0, 50}] (* G. C. Greubel, Jul 02 2018 *)

Prog

(PARI) a(n)=numerator(polhermite(n, 12/17)) \\ Charles R Greathouse IV, Jan 29 2016
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(24/17)^(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. A159538, A159539.

Sequence in context: A040574 A040575 A184885 * A040564 A040565 A202397

Adjacent sequences: A159537 A159538 A159539 * A159541 A159542 A159543

Keyword

sign,frac

Author

N. J. A. Sloane, Nov 12 2009

Status

approved