A158617 a(n) = Hermite(n, 16).

1, 32, 1022, 32576, 1036300, 32900992, 1042468744, 32964187904, 1040259450512, 32760875409920, 1029623343008224, 32292729468064768, 1010715629431891648, 31567874634586978304, 983893381941554122880, 30600687732361296539648

Offset

0,2

Comments

First negative term is a(140). - Georg Fischer, Feb 15 2019

Links

G. C. Greubel, Table of n, a(n) for n = 0..695

Formula

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

E.g.f.: exp(32*x - x^2).

a(n) = 32*a(n-1) - 2*(n-1)*a(n-2). (End)

Mathematica

With[{nmax = 50}, CoefficientList[Series[Exp[32*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(32*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(32*x - x^2))) \\ G. C. Greubel, Jul 13 2018
(PARI) for(n=0, 30, print1(polhermite(n, 16), ", ")) \\ G. C. Greubel, Jul 13 2018

Crossrefs

Sequence in context: A299673 A299751 A300265 * A171337 A029548 A016745

Adjacent sequences: A158614 A158615 A158616 * A158618 A158619 A158620

Keyword

sign

Author

N. J. A. Sloane, Nov 11 2009

Status

approved