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A158535 a(n) = Hermite(n,11). 1
1, 22, 482, 10516, 228460, 4941992, 106439224, 2282359024, 48721749392, 1035360742240, 21900944840224, 461113571640128, 9662677789597888, 201512185651790464, 4182038461809845120, 86362504961566459648, 1774513955300166758656, 36275706857833541981696 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
a(70) is the first negative term. - Georg Fischer, Feb 15 2019
LINKS
FORMULA
From G. C. Greubel, Jul 13 2018: (Start)
E.g.f.: exp(22*x - x^2).
a(n) = 22*a(n-1) - 2*(n-1)*a(n-2). (End)
MATHEMATICA
HermiteH[Range[0, 20], 11] (* Harvey P. Dale, Jun 30 2011 *)
With[{nmax = 50}, CoefficientList[Series[Exp[22*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(22*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(22*x - x^2))) \\ G. C. Greubel, Jul 13 2018
(PARI) for(n=0, 30, print1(polhermite(n, 11), ", ")) \\ G. C. Greubel, Jul 13 2018
CROSSREFS
Sequence in context: A139228 A240782 A261135 * A171327 A077421 A207491
KEYWORD
sign
AUTHOR
N. J. A. Sloane, Nov 11 2009
STATUS
approved

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Last modified May 23 21:14 EDT 2024. Contains 372765 sequences. (Running on oeis4.)