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 A160084 Numerator of Hermite(n, 25/26). 1
 1, 25, 287, -9725, -534143, -205375, 897567295, 22855682875, -1552252148095, -100608070196375, 2206749279595615, 395224009253637875, 1675906409804450305, -1561130921287643963375, -46392205796871853724545, 6227466374611334891576875, 390895142755423670672865025 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS G. C. Greubel, Table of n, a(n) for n = 0..422 FORMULA From G. C. Greubel, Sep 23 2018: (Start) a(n) = 13^n * Hermite(n, 25/26). E.g.f.: exp(25*x - 169*x^2). a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(25/13)^(n-2*k)/(k!*(n-2*k)!)). (End) EXAMPLE Numerators of 1, 25/13, 287/169, -9725/2197, -534143/28561.. MATHEMATICA Table[13^n*HermiteH[n, 25/26], {n, 0, 30}] (* G. C. Greubel, Sep 23 2018 *) PROG (PARI) a(n)=numerator(polhermite(n, 25/26)) \\ Charles R Greathouse IV, Jan 29 2016 (PARI) x='x+O('x^30); Vec(serlaplace(exp(25*x - 169*x^2))) \\ G. C. Greubel, Sep 23 2018 (MAGMA) [Numerator((&+[(-1)^k*Factorial(n)*(25/13)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Sep 23 2018 CROSSREFS Cf. A001022 (denominators). Sequence in context: A078463 A231790 A125413 * A265967 A225873 A029987 Adjacent sequences:  A160081 A160082 A160083 * A160085 A160086 A160087 KEYWORD sign,frac AUTHOR N. J. A. Sloane, Nov 12 2009 STATUS approved

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Last modified December 9 13:50 EST 2019. Contains 329877 sequences. (Running on oeis4.)