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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 G. C. Greubel, Table of n, a(n) for n = 0..714 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:=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 Adjacent sequences: A158532 A158533 A158534 * A158536 A158537 A158538 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.)