A158702 a(n) = Hermite(n, 19).

1, 38, 1442, 54644, 2067820, 78140008, 2948642104, 111110719856, 4180926365072, 157097430355040, 5894445678920224, 220846987191867712, 8262507708354728128, 308674965224874843776, 11514823478128021132160

Offset

0,2

Comments

The first negative term is a(194). - Georg Fischer, Feb 16 2019

Links

G. C. Greubel, Table of n, a(n) for n = 0..680

Formula

From G. C. Greubel, Jul 13 2018: (Start)

E.g.f.: exp(38*x - x^2).

a(n) = 38*a(n-1) - 2*(n-1)*a(n-2). (End)

Mathematica

Table[HermiteH[n, 19], {n, 0, 50}] (* or *) With[{nmax = 50}, CoefficientList[Series[Exp[38*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(38*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(38*x - x^2))) \\ G. C. Greubel, Jul 13 2018
(PARI) for(n=0, 30, print1(polhermite(n, 19), ", ")) \\ G. C. Greubel, Jul 13 2018

Crossrefs

Sequence in context: A170719 A170757 A218740 * A239364 A078987 A009982

Adjacent sequences: A158699 A158700 A158701 * A158703 A158704 A158705

Keyword

sign

Author

N. J. A. Sloane, Nov 11 2009

Status

approved