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 A160197 Numerator of Hermite(n, 15/28). 1
 1, 15, -167, -14265, -17583, 22103775, 366019305, -46497789225, -1701823811295, 120289709840175, 7808380053851385, -354409961765715225, -38985884218692900495, 1082356196865530910975, 214907408931441984587145, -2716359674426403870623625 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS G. C. Greubel, Table of n, a(n) for n = 0..417 FORMULA From G. C. Greubel, Sep 25 2018: (Start) a(n) = 14^n * Hermite(n, 15/28). E.g.f.: exp(15*x - 196*x^2). a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(15/14)^(n-2*k)/(k!*(n-2*k)!)). (End) EXAMPLE Numerators of 1, 15/14, -167/196, -14265/2744, -17583/38416, ... MATHEMATICA Table[14^n*HermiteH[n, 15/28], {n, 0, 30}] (* G. C. Greubel, Sep 25 2018 *) PROG (PARI) a(n)=numerator(polhermite(n, 15/28)) \\ Charles R Greathouse IV, Jan 29 2016 (PARI) x='x+O('x^30); Vec(serlaplace(exp(15*x - 196*x^2))) \\ G. C. Greubel, Sep 25 2018 (MAGMA) [Numerator((&+[(-1)^k*Factorial(n)*(15/14)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Sep 25 2018 CROSSREFS Cf. A001023 (denominators). Sequence in context: A167615 A210326 A016234 * A055660 A121114 A121116 Adjacent sequences:  A160194 A160195 A160196 * A160198 A160199 A160200 KEYWORD sign,frac AUTHOR N. J. A. Sloane, Nov 12 2009 STATUS approved

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Last modified January 29 16:58 EST 2020. Contains 331347 sequences. (Running on oeis4.)