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A158580 a(n) = Hermite(n, 15). 1

%I

%S 1,30,898,26820,799212,23761800,704861880,20860714800,615953377680,

%T 18144829893600,533257736009760,15634835482420800,457313394280409280,

%U 13344165776834179200,388434825053734734720,11279408109860685024000

%N a(n) = Hermite(n, 15).

%C First negative terms is a(124). - _Georg Fischer_, Feb 15 2019

%H G. C. Greubel, <a href="/A158580/b158580.txt">Table of n, a(n) for n = 0..699</a>

%F From _G. C. Greubel_, Jul 13 2018: (Start)

%F E.g.f.: exp(30*x - x^2).

%F a(n) = 30*a(n-1) - 2*(n-1)*a(n-2). (End)

%t HermiteH[Range[0,20],15] (* _Harvey P. Dale_, Oct 23 2015 *)

%t With[{nmax = 50}, CoefficientList[Series[Exp[30*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(30*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(30*x - x^2))) \\ _G. C. Greubel_, Jul 13 2018

%o (PARI) for(n=0,30, print1(polhermite(n, 15), ", ")) \\ _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 May 8 22:05 EDT 2021. Contains 343668 sequences. (Running on oeis4.)