A158545 a(n) = Hermite(n,14).

1, 28, 782, 21784, 605260, 16773008, 463591624, 12779289376, 351329819792, 9632766324160, 263393520320224, 7182363242483072, 195311513342481088, 5296345655769876736, 143219579014652040320, 3861850534048700580352, 103835227582924055040256

Offset

0,2

Comments

First negative term is a(109). - Georg Fischer, Feb 15 2019

Links

G. C. Greubel, Table of n, a(n) for n = 0..703

Formula

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

E.g.f.: exp(28*x - x^2).

a(n) = 28*a(n-1) - 2*(n-1)*a(n-2). (End)

Mathematica

Table[HermiteH[n, 14], {n, 0, 50}] (* or *) With[{nmax = 50}, CoefficientList[Series[Exp[28*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(28*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(28*x - x^2))) \\ G. C. Greubel, Jul 13 2018
(PARI) for(n=0, 30, print1(polhermite(n, 14), ", ")) \\ G. C. Greubel, Jul 13 2018

Crossrefs

Sequence in context: A218730 A152127 A113532 * A291997 A171333 A097311

Adjacent sequences: A158542 A158543 A158544 * A158546 A158547 A158548

Keyword

sign

Author

N. J. A. Sloane, Nov 11 2009

Status

approved