A159504 Numerator of Hermite(n, 10/13).

1, 20, 62, -12280, -308468, 10433200, 729974920, -6559031200, -1858301284720, -19430405329600, 5264344401526240, 170961658044572800, -16153599323983104320, -1016492471508449363200, 50649065999412773118080, 5823023695166237849024000, -140330290713698002728185600

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,10/13).

E.g.f.: exp(20*x-169*x^2).

a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(20/13)^(n-2*k)/(k!*(n-2*k)!)). (End)

Mathematica

Numerator[Table[HermiteH[n, 10/13], {n, 0, 50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 14 2011 *)

Prog

(PARI) a(n)=numerator(polhermite(n, 10/13)) \\ Charles R Greathouse IV, Jan 29 2016
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(20/13)^(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: A112144 A007248 A117431 * A182468 A117432 A033577

Adjacent sequences: A159501 A159502 A159503 * A159505 A159506 A159507

Keyword

sign,frac

Author

N. J. A. Sloane, Nov 12 2009

Status

approved