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 A159670 Numerator of Hermite(n, 13/20). 1
 1, 13, -31, -5603, -54239, 3777293, 103343809, -3189282083, -186141999679, 2683005336973, 369934668802849, -556859979508963, -821095451099884319, -9337776913476984947, 2013457072984498425089, 52320717306534037377757, -5360201893968552789356159 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..200 FORMULA Conjecture: a(n) -13*a(n-1) +200*(n-1)*a(n-2)=0. - R. J. Mathar, Feb 17 2014 From G. C. Greubel, Jul 11 2018: (Start) a(n) = 10^n * Hermite(n, 13/20). E.g.f.: exp(13*x - 100*x^2). a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(13/10)^(n-2*k)/(k!*(n-2*k)!)). (End) EXAMPLE Numerator of 1, 13/10, -31/100, -5603/1000, -54239/10000, 3777293/100000,... MAPLE A159670 := proc(n)         orthopoly[H](n, 13/20) ;         numer(%) ; end proc: # R. J. Mathar, Feb 17 2014 MATHEMATICA Numerator[Table[HermiteH[n, 13/20], {n, 0, 30}]] (* Vladimir Joseph Stephan Orlovsky, Jun 17 2011 *) Table[10^n*HermiteH[n, 13/20], {n, 0, 50}] (* G. C. Greubel, Jul 11 2018 *) PROG (PARI) a(n)=numerator(polhermite(n, 13/20)) \\ Charles R Greathouse IV, Jan 29 2016 (MAGMA) [Numerator((&+[(-1)^k*Factorial(n)*(13/10)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jul 11 2018 CROSSREFS Cf. A011557 (denominators). Sequence in context: A180757 A214488 A247836 * A238736 A087511 A299449 Adjacent sequences:  A159667 A159668 A159669 * A159671 A159672 A159673 KEYWORD sign,frac AUTHOR N. J. A. Sloane, Nov 12 2009 STATUS approved

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Last modified October 18 13:31 EDT 2019. Contains 328161 sequences. (Running on oeis4.)