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A158516 a(n) = Hermite(n,6). 1

%I

%S 1,12,142,1656,19020,214992,2389704,26096544,279702672,2938887360,

%T 30232000224,304006255488,2982971060928,28499502599424,

%U 264436783608960,2375255330523648,20569960458014976,170831354919422976,1350597603460566528,10057242464427571200

%N a(n) = Hermite(n,6).

%H G. C. Greubel, <a href="/A158516/b158516.txt">Table of n, a(n) for n = 0..726</a>

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

%t HermiteH[Range[0,30],6] (* _Harvey P. Dale_, Jul 20 2015 *)

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

%o (PARI) for(n=0,30, print1(polhermite(n, 6), ", ")) \\ _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 March 8 07:58 EST 2021. Contains 341941 sequences. (Running on oeis4.)