A159506 Numerator of Hermite(n, 12/13).

1, 24, 238, -10512, -493620, 2365344, 890986056, 16586747712, -1709991063408, -85890351335040, 3140424382846176, 365679572700743424, -2899788110604240192, -1552791261528717092352, -24525321318694178812800, 6759200537905228989502464, 286564191995504982328955136

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..422

Formula

From G. C. Greubel, Jun 11 2018: (Start)

a(n) = 13^n * Hermite(n,12/13).

E.g.f.: exp(24*x-169*x^2).

a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(24/13)^(n-2*k)/(k!*(n-2*k)!)). (End)

Mathematica

Numerator[Table[HermiteH[n, 12/13], {n, 0, 50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 14 2011 *)

Prog

(PARI) a(n)=numerator(polhermite(n, 12/13)) \\ Charles R Greathouse IV, Jan 29 2016
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(24/13)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 11 2018

Crossrefs

Cf. A159280, A159488.

Sequence in context: A193168 A190020 A213560 * A081863 A247825 A003264

Adjacent sequences: A159503 A159504 A159505 * A159507 A159508 A159509

Keyword

sign,frac

Author

N. J. A. Sloane, Nov 12 2009

Status

approved