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A158532 a(n) = Hermite(n,9). 1

%I

%S 1,18,322,5724,101100,1774008,30921144,535292496,9202368912,

%T 157077960480,2661760648224,44770132458432,747303649990848,

%U 12376982520832896,203355790475230080,3313848717970820352,53548603209217863936,857831698790855299584

%N a(n) = Hermite(n,9).

%H G. C. Greubel, <a href="/A158532/b158532.txt">Table of n, a(n) for n = 0..719</a>

%F E.g.f.: exp(18*x - x^2). - _G. C. Greubel_, Jul 12 2018

%t Table[HermiteH[n, 9], {n, 0, 30}] (* _G. C. Greubel_, Jul 13 2018 *)

%o (MAGMA) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Exp(18*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(18*x - x^2))) \\ _G. C. Greubel_, Jul 12 2018

%o (PARI) for(n=0,30, print1(polhermite(n, 9), ", ")) \\ _G. C. Greubel_, Jul 13 2018

%K sign

%O 0,2

%A _N. J. A. Sloane_, Nov 11 2009

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Last modified January 22 10:13 EST 2022. Contains 350481 sequences. (Running on oeis4.)