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

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A158703 a(n) = Hermite(n, 20). 1
 1, 40, 1598, 63760, 2540812, 101122400, 4019487880, 159566046400, 6326369025680, 250501704284800, 9906193528929760, 391237707071494400, 15431572025223321280, 607873176039216985600, 23913706168912873070720 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The first negative term is a(214). - Georg Fischer, Feb 16 2019 LINKS G. C. Greubel, Table of n, a(n) for n = 0..675 FORMULA From G. C. Greubel, Jul 13 2018: (Start) E.g.f.: exp(40*x - x^2). a(n) = 40*a(n-1) - 2*(n-1)*a(n-2). (End) MATHEMATICA Table[HermiteH[n, 20], {n, 0, 50}] (* or *) With[{nmax = 50}, CoefficientList[Series[Exp[40*x - x^2], {x, 0, nmax}], x]*Range[0, nmax]!] (* G. C. Greubel, Jul 13 2018 *) PROG (Magma) m:=30; R:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Exp(40*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(40*x - x^2))) \\ G. C. Greubel, Jul 13 2018 (PARI) for(n=0, 30, print1(polhermite(n, 20), ", ")) \\ G. C. Greubel, Jul 13 2018 CROSSREFS Sequence in context: A063820 A170759 A218742 * A209223 A207692 A207927 Adjacent sequences: A158700 A158701 A158702 * A158704 A158705 A158706 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 November 30 02:32 EST 2022. Contains 358431 sequences. (Running on oeis4.)