login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A159279 Numerator of Hermite(n, 9/10). 1

%I

%S 1,9,31,-621,-10239,32049,2848191,16019019,-852695679,-14081868711,

%T 256976237151,9353720489859,-57153446024319,-6126613308134271,

%U -17989779857401089,4126721296977379899,50632826565847235841,-2845681598489278796631

%N Numerator of Hermite(n, 9/10).

%H G. C. Greubel, <a href="/A159279/b159279.txt">Table of n, a(n) for n = 0..450</a>

%F From _G. C. Greubel_, Jun 27 2018: (Start)

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

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

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

%t Numerator[Table[HermiteH[n,3/10],{n,0,50}]] (* _Vladimir Joseph Stephan Orlovsky_, Apr 12 2011 *)

%t Table[5^n*HermiteH[n, 9/10], {n,0,30}] (* _G. C. Greubel_, Jun 27 2018 *)

%o (PARI) a(n)=numerator(polhermite(n,9/10)) \\ _Charles R Greathouse IV_, Jan 29 2016

%o (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

%Y Cf. A159247.

%K sign,frac

%O 0,2

%A _N. J. A. Sloane_, Nov 12 2009

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 6 23:56 EDT 2020. Contains 335484 sequences. (Running on oeis4.)