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 A159868 Numerator of Hermite(n, 4/23). 1
 1, 8, -994, -24880, 2955916, 128939488, -14605279736, -935350107712, 100683900863120, 8722274518579328, -888933907869994016, -99393135669529242368, 9550267734434756419264, 1338297392335821312458240, -120648003280729069290891136, -20788045001524017834458579968 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS G. C. Greubel, Table of n, a(n) for n = 0..385 FORMULA From G. C. Greubel, Jul 14 2018: (Start) a(n) = 23^n * Hermite(n, 4/23). E.g.f.: exp(8*x - 529*x^2). a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(8/23)^(n-2*k)/(k!*(n-2*k)!)). (End) MATHEMATICA Numerator[Table[HermiteH[n, 4/23], {n, 0, 30}]] (* Vladimir Joseph Stephan Orlovsky, Jun 22 2011 *) Table[19^n*HermiteH[n, 4/23], {n, 0, 30}] (* G. C. Greubel, Jul 14 2018 *) PROG (PARI) a(n)=numerator(polhermite(n, 4/23)) \\ Charles R Greathouse IV, Jan 29 2016 (PARI) x='x+O('x^30); Vec(serlaplace(exp(8*x - 529*x^2))) \\ G. C. Greubel, Jul 14 2018 (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(8/23)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jul 14 2018 CROSSREFS Cf. A159858, A159859. Sequence in context: A301353 A183888 A181965 * A061105 A118545 A017091 Adjacent sequences: A159865 A159866 A159867 * A159869 A159870 A159871 KEYWORD sign,frac AUTHOR N. J. A. Sloane, Nov 12 2009 STATUS approved

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Last modified May 20 19:00 EDT 2024. Contains 372720 sequences. (Running on oeis4.)