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%I #13 Mar 12 2023 10:51:44
%S 1,46,2114,97060,4452076,204019016,9340353976,427208054704,
%T 19520805560720,891121726917856,40640224938128416,1851627912615550016,
%U 84280799031676475584,3832477685554344676480,174102672760676266752896
%N a(n) = Hermite(n, 23).
%C The first negative term is a(280). - _Georg Fischer_, Feb 16 2019
%H G. C. Greubel, <a href="/A158752/b158752.txt">Table of n, a(n) for n = 0..657</a>
%F From _G. C. Greubel_, Jul 13 2018: (Start)
%F E.g.f.: exp(46*x - x^2).
%F a(n) = 46*a(n-1) - 2*(n-1)*a(n-2). (End)
%t Table[HermiteH[n, 23], {n, 0, 50}] (* or *) With[{nmax = 50}, CoefficientList[ Series[ Exp[ 46*x - x^2], {x, 0, nmax}], x]*Range[0, nmax]!] (* _G. C. Greubel_, Jul 13 2018 *)
%o (Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Exp(46*x - x^2))); [Factorial(n-1)*b[n]: n in [1..m]]; // _G. C. Greubel_, Jul 13 2018
%o (PARI) x='x+O('x^30); Vec(serlaplace(exp(46*x - x^2))) \\ _G. C. Greubel_, Jul 13 2018
%o (PARI) for(n=0,30, print1(polhermite(n, 23), ", ")) \\ _G. C. Greubel_, Jul 13 2018
%K sign
%O 0,2
%A _N. J. A. Sloane_, Nov 11 2009
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