A159518 Numerator of Hermite(n, 11/15).

1, 22, 34, -19052, -465044, 24062632, 1575726904, -30303114512, -5630208266864, -14773369627808, 22477329348987424, 560981409002859328, -98921189279424843584, -5205565772762786930048, 464166510283854022505344, 43006727594650346154419968

Offset

0,2

Links

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

Formula

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

a(n) = 15^n * Hermite(n,11/15).

E.g.f.: exp(22*x-225*x^2).

a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(22/15)^(n-2*k)/(k!*(n-2*k)!)). (End)

Mathematica

Numerator[Table[HermiteH[n, 11/15], {n, 0, 50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 28 2011 *)

Prog

(PARI) a(n)=numerator(polhermite(n, 11/15)) \\ Charles R Greathouse IV, Jan 29 2016
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(22/15)^(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. A159513, A159514.

Sequence in context: A181177 A124317 A254691 * A245365 A100039 A061561

Adjacent sequences: A159515 A159516 A159517 * A159519 A159520 A159521

Keyword

sign,frac

Author

N. J. A. Sloane, Nov 12 2009

Status

approved