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%I #10 Sep 08 2022 08:45:43
%S 1,10,98,940,8812,80600,717880,6211600,52065680,421271200,3275529760,
%T 24329873600,171237081280,1128453846400,6832374350720,36727035808000,
%U 162299127558400,447726129728000,-1040909039705600,-26527231067264000,-225717767163827200
%N a(n) = Hermite(n,5).
%H G. C. Greubel, <a href="/A158513/b158513.txt">Table of n, a(n) for n = 0..725</a>
%F E.g.f.: exp(10*x - x^2). - _G. C. Greubel_, Jul 12 2018
%t Table[HermiteH[n, 5], {n, 0, 50}] (* _G. C. Greubel_, Jul 12 2018 *)
%o (Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Exp(10*x - x^2))); [Factorial(n-1)*b[n]: n in [1..m]]; // _G. C. Greubel_, Jul 12 2018
%o (PARI) x='x+O('x^30); Vec(serlaplace(exp(10*x - x^2))) \\ _G. C. Greubel_, Jul 12 2018
%o (PARI) a(n) = polhermite(n, 5); \\ _Michel Marcus_, Jul 13 2018
%K sign
%O 0,2
%A _N. J. A. Sloane_, Nov 11 2009
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