OFFSET
0,2
COMMENTS
The first negative term is a(82). - Georg Fischer, Feb 15 2019
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..711
FORMULA
From G. C. Greubel, Jul 13 2018: (Start)
E.g.f.: exp(24*x - x^2).
a(n) = 24*a(n-1) - 2*(n-1)*a(n-2). (End)
MATHEMATICA
Table[HermiteH[n, 12], {n, 0, 50}] (* or *) With[{nmax = 50}, CoefficientList[Series[Exp[24*x - x^2], {x, 0, nmax}], x]*Range[0, nmax]!] (* G. C. Greubel, Jul 13 2018 *)
PROG
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Exp(24*x - x^2))); [Factorial(n-1)*b[n]: n in [1..m]]; // G. C. Greubel, Jul 13 2018
(PARI) x='x+O('x^30); Vec(serlaplace(exp(24*x - x^2))) \\ G. C. Greubel, Jul 13 2018
(PARI) for(n=0, 30, print1(polhermite(n, 12), ", ")) \\ G. C. Greubel, Jul 13 2018
CROSSREFS
KEYWORD
easy,sign
AUTHOR
N. J. A. Sloane, Nov 11 2009
STATUS
approved