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!)
A159540 Numerator of Hermite(n, 12/17). 3

%I

%S 1,24,-2,-27792,-663540,48330144,3077554056,-93747642048,

%T -14701727119728,80647645956480,78413927979780576,1415790877886279424,

%U -464576773026174196032,-20969768081647414789632,2987555438559134954033280,241388693842110119374500864

%N Numerator of Hermite(n, 12/17).

%H G. C. Greubel, <a href="/A159540/b159540.txt">Table of n, a(n) for n = 0..404</a>

%F From _G. C. Greubel_, Jul 02 2018: (Start)

%F a(n) = 17^n * Hermite(n, 12/17).

%F E.g.f.: exp(24*x-289*x^2).

%F a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(24/17)^(n-2*k)/(k!*(n-2*k)!)). (End)

%t Numerator[Table[HermiteH[n,12/17],{n,0,30}]] (* _Vladimir Joseph Stephan Orlovsky_, May 08 2011 *)

%t Table[17^n*HermiteH[n, 12/17], {n,0,50}] (* _G. C. Greubel_, Jul 02 2018 *)

%o (PARI) a(n)=numerator(polhermite(n,12/17)) \\ _Charles R Greathouse IV_, Jan 29 2016

%o (MAGMA) [Numerator((&+[(-1)^k*Factorial(n)*(24/17)^(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

%Y Cf. A159538, A159539.

%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 September 23 12:11 EDT 2021. Contains 347617 sequences. (Running on oeis4.)