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%I #15 Sep 08 2022 08:45:45
%S 1,11,-329,-13519,295441,27584051,-361317689,-78451432279,
%T 275184965281,285452190822491,2025474989659351,-1262254633814956639,
%U -23910902170778310479,6553155098722204435331,211963483784997365090791,-38953278800314916926586599,-1859239582352196300555291839
%N Numerator of Hermite(n, 11/30).
%H G. C. Greubel, <a href="/A160293/b160293.txt">Table of n, a(n) for n = 0..412</a>
%F From _G. C. Greubel_, Oct 03 2018: (Start)
%F a(n) = 15^n * Hermite(n, 11/30).
%F E.g.f.: exp(11*x - 225*x^2).
%F a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(11/15)^(n-2*k)/(k!*(n-2*k)!)). (End)
%e Numerators of 1, 11/15, -329/225, -13519/3375, 295441/50625, ...
%t Numerator[HermiteH[Range[0,20],11/30]] (* _Harvey P. Dale_, Jul 24 2013 *)
%t Table[15^n*HermiteH[n, 11/30], {n, 0, 30}] (* _G. C. Greubel_, Oct 03 2018 *)
%o (PARI) a(n)=numerator(polhermite(n, 11/30)) \\ _Charles R Greathouse IV_, Jan 29 2016
%o (PARI) x='x+O('x^30); Vec(serlaplace(exp(11*x - 225*x^2))) \\ _G. C. Greubel_, Oct 03 2018
%o (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(11/15)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // _G. C. Greubel_, Oct 03 2018
%Y Cf. A001024 (denominators).
%K sign,frac
%O 0,2
%A _N. J. A. Sloane_, Nov 12 2009
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