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A158700 a(n) = Hermite(n, 18). 1
1, 36, 1294, 46440, 1664076, 59535216, 2126627016, 75844149984, 2700616621200, 96008691963456, 3407701811502816, 120757091374832256, 4272285849640899264, 150904120394076399360, 5321468902096086996096, 187347565104424992677376 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The first negative term is a(175). - Georg Fischer, Feb 15 2019

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..685

FORMULA

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

E.g.f.: exp(36*x - x^2).

a(n) = 36*a(n-1) - 2*(n-1)*a(n-2). (End)

MATHEMATICA

Table[HermiteH[n, 18], {n, 0, 50}] (* or *) With[{nmax = 50}, CoefficientList[Series[Exp[36*x - x^2], {x, 0, nmax}], x]*Range[0, nmax]!] (* G. C. Greubel, Jul 13 2018 *)

PROG

(PARI) a(n)=polhermite(n, 18) \\ Charles R Greathouse IV, Jan 29 2016

(PARI) x='x+O('x^30); Vec(serlaplace(exp(36*x - x^2))) \\ G. C. Greubel, Jul 13 2018

(MAGMA) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Exp(36*x - x^2))); [Factorial(n-1)*b[n]: n in [1..m]]; // G. C. Greubel, Jul 13 2018

CROSSREFS

Sequence in context: A170717 A170755 A218738 * A144128 A223405 A224267

Adjacent sequences:  A158697 A158698 A158699 * A158701 A158702 A158703

KEYWORD

sign

AUTHOR

N. J. A. Sloane, Nov 11 2009

STATUS

approved

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Last modified August 9 07:38 EDT 2022. Contains 356019 sequences. (Running on oeis4.)