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

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A158752 a(n) = Hermite(n, 23). 1
1, 46, 2114, 97060, 4452076, 204019016, 9340353976, 427208054704, 19520805560720, 891121726917856, 40640224938128416, 1851627912615550016, 84280799031676475584, 3832477685554344676480, 174102672760676266752896 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
The first negative term is a(280). - Georg Fischer, Feb 16 2019
LINKS
FORMULA
From G. C. Greubel, Jul 13 2018: (Start)
E.g.f.: exp(46*x - x^2).
a(n) = 46*a(n-1) - 2*(n-1)*a(n-2). (End)
MATHEMATICA
Table[HermiteH[n, 23], {n, 0, 50}] (* or *) With[{nmax = 50}, CoefficientList[ Series[ Exp[ 46*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(46*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(46*x - x^2))) \\ G. C. Greubel, Jul 13 2018
(PARI) for(n=0, 30, print1(polhermite(n, 23), ", ")) \\ G. C. Greubel, Jul 13 2018
CROSSREFS
Sequence in context: A170727 A170765 A218748 * A223738 A223721 A223827
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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 23 13:02 EDT 2024. Contains 371913 sequences. (Running on oeis4.)