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A159279 Numerator of Hermite(n, 9/10). 1
1, 9, 31, -621, -10239, 32049, 2848191, 16019019, -852695679, -14081868711, 256976237151, 9353720489859, -57153446024319, -6126613308134271, -17989779857401089, 4126721296977379899, 50632826565847235841, -2845681598489278796631 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..450

FORMULA

From G. C. Greubel, Jun 27 2018: (Start)

a(n) = 5^n * Hermite(n, 9/10).

E.g.f.: exp(9*x - 25*x^2).

a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(9/5)^(n-2*k)/(k!*(n-2*k)!)). (End)

MATHEMATICA

Numerator[Table[HermiteH[n, 3/10], {n, 0, 50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 12 2011 *)

Table[5^n*HermiteH[n, 9/10], {n, 0, 30}] (* G. C. Greubel, Jun 27 2018 *)

PROG

(PARI) a(n)=numerator(polhermite(n, 9/10)) \\ Charles R Greathouse IV, Jan 29 2016

(MAGMA) [Numerator((&+[(-1)^k*Factorial(n)*(9/5)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 27 2018

CROSSREFS

Cf. A159247.

Sequence in context: A145950 A177743 A266710 * A048547 A141573 A075433

Adjacent sequences:  A159276 A159277 A159278 * A159280 A159281 A159282

KEYWORD

sign,frac

AUTHOR

N. J. A. Sloane, Nov 12 2009

STATUS

approved

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Last modified May 25 07:08 EDT 2020. Contains 334584 sequences. (Running on oeis4.)