The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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:=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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

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