A159538 Numerator of Hermite(n, 10/17).

1, 20, -178, -26680, -224948, 57185200, 1793803720, -162442199200, -10506573835120, 541001252398400, 65475222138262240, -1817482796097507200, -452641118277021465920, 3553238308191880620800, 3472210128897376907338880, 40691398188058840163264000

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, 10/17).

E.g.f.: exp(20*x-289*x^2).

a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(20/17)^(n-2*k)/(k!*(n-2*k)!)). (End)

Mathematica

Numerator[Table[HermiteH[n, 10/17], {n, 0, 30}]] (* Vladimir Joseph Stephan Orlovsky, May 08 2011 *)
Table17^n*HermiteH[n, 10/17], {n, 0, 50}] (* G. C. Greubel, Jul 02 2018 *)

Prog

(PARI) a(n)=numerator(polhermite(n, 10/17)) \\ Charles R Greathouse IV, Jan 29 2016
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(20/17)^(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. A159535, A159536, A159537.

Sequence in context: A342387 A140044 A027332 * A091983 A037250 A361569

Adjacent sequences: A159535 A159536 A159537 * A159539 A159540 A159541

Keyword

sign,frac

Author

N. J. A. Sloane, Nov 12 2009

Status

approved