A159542 Numerator of Hermite(n, 14/17).

1, 28, 206, -26600, -1102004, 30643088, 4042798024, 6928115488, -16163173571440, -484604466016832, 70511903870159584, 4775347121941757312, -314604965392105430336, -41930746668766980765440, 1189880803230804742112384, 372620264534124941133087232

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, 14/17).

E.g.f.: exp(28*x-289*x^2).

a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(28/17)^(n-2*k)/(k!*(n-2*k)!)). (End)

Mathematica

Numerator[Table[HermiteH[n, 14/17], {n, 0, 30}]] (* Vladimir Joseph Stephan Orlovsky, May 08 2011 *)
Table[17^n*HermiteH[n, 14/17], {n, 0, 50}] (* G. C. Greubel, Jul 02 2018 *)

Prog

(PARI) a(n)=numerator(polhermite(n, 14/17)) \\ Charles R Greathouse IV, Jan 29 2016
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(28/17)^(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. A159540, A159541.

Sequence in context: A246902 A236372 A346376 * A244944 A155466 A053135

Adjacent sequences: A159539 A159540 A159541 * A159543 A159544 A159545

Keyword

sign,frac

Author

N. J. A. Sloane, Nov 12 2009

Status

approved