Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #11 Sep 08 2022 08:45:43
%S 1,14,-46,-7420,-70484,6195784,172026616,-6587905744,-383643767920,
%T 7383172769504,938940545302816,-4722110467960256,-2565569278147539776,
%U -22204961095108973440,7760411493720634507136,183876169102318085114624,-25596027354773450069298944
%N Numerator of Hermite(n, 7/11).
%H G. C. Greubel, <a href="/A159450/b159450.txt">Table of n, a(n) for n = 0..435</a>
%F From _G. C. Greubel_, Jun 15 2018: (Start)
%F a(n) = 11^n * Hermite(n,7/11).
%F E.g.f.: exp(14*x-121*x^2).
%F a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(14/11)^(n-2*k)/(k!*(n-2*k)!)). (End)
%t Numerator[Table[HermiteH[n,7/11],{n,0,50}]] (* _Vladimir Joseph Stephan Orlovsky_, Apr 12 2011 *)
%o (PARI) a(n)=numerator(polhermite(n,7/11)) \\ _Charles R Greathouse IV_, Jan 29 2016
%o (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(14/11)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // _G. C. Greubel_, Jun 15 2018
%Y Cf. A159280.
%K sign,frac
%O 0,2
%A _N. J. A. Sloane_, Nov 12 2009