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A159538 Numerator of Hermite(n, 10/17). 3
1, 20, -178, -26680, -224948, 57185200, 1793803720, -162442199200, -10506573835120, 541001252398400, 65475222138262240, -1817482796097507200, -452641118277021465920, 3553238308191880620800, 3472210128897376907338880, 40691398188058840163264000 (list; graph; refs; listen; history; text; internal format)
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 A000144

Adjacent sequences:  A159535 A159536 A159537 * A159539 A159540 A159541

KEYWORD

sign,frac

AUTHOR

N. J. A. Sloane, Nov 12 2009

STATUS

approved

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Last modified September 16 15:58 EDT 2021. Contains 347473 sequences. (Running on oeis4.)