A158538 a(n) = Hermite(n,12).

1, 24, 574, 13680, 324876, 7687584, 181253256, 4257827136, 99650305680, 2323482102144, 53969864949216, 1248807116738304, 28784033772836544, 660845439746357760, 15111905675818836096, 344182063906754049024, 7807012363487532093696, 176354470678684640679936

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

Sequence in context: A203487 A007110 A007109 * A171329 A077423 A059061

Adjacent sequences: A158535 A158536 A158537 * A158539 A158540 A158541

Keyword

easy,sign

Author

N. J. A. Sloane, Nov 11 2009

Status

approved