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A158534 a(n) = Hermite(n,10). 1
1, 20, 398, 7880, 155212, 3041200, 59271880, 1148943200, 22149057680, 424598062400, 8093278209760, 153373602947200, 2889419938329280, 54107432295852800, 1007023727520494720, 18625466446126016000, 342298617096905478400, 6249957415662077056000 (list; graph; refs; listen; history; text; internal format)
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: A170701 A170739 A218722 * A171325 A075843 A208072

Adjacent sequences:  A158531 A158532 A158533 * A158535 A158536 A158537

KEYWORD

sign

AUTHOR

N. J. A. Sloane, Nov 11 2009

STATUS

approved

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Last modified October 20 04:37 EDT 2019. Contains 328247 sequences. (Running on oeis4.)