A158534 a(n) = Hermite(n,10).

1, 20, 398, 7880, 155212, 3041200, 59271880, 1148943200, 22149057680, 424598062400, 8093278209760, 153373602947200, 2889419938329280, 54107432295852800, 1007023727520494720, 18625466446126016000, 342298617096905478400, 6249957415662077056000

Offset

0,2

Comments

The first negative term is a(59). - Georg Fischer, Feb 19 2019

Links

G. C. Greubel, Table of n, a(n) for n = 0..715

Formula

E.g.f.: exp(20*x - x^2). - G. C. Greubel, Jul 13 2018

Mathematica

Table[HermiteH[n, 10], {n, 0, 30}] (* G. C. Greubel, Jul 13 2018 *)

Prog

(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Exp(20*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(20*x - x^2))) \\ G. C. Greubel, Jul 13 2018
(PARI) for(n=0, 30, print1(polhermite(n, 10), ", ")) \\ G. C. Greubel, Jul 13 2018

Crossrefs

Sequence in context: A218722 A358109 A358853 * A171325 A075843 A208072

Adjacent sequences: A158531 A158532 A158533 * A158535 A158536 A158537

Keyword

sign

Author

N. J. A. Sloane, Nov 11 2009

Status

approved