%I #13 Sep 08 2022 08:45:44
%S 1,17,-49,-12325,-159839,13946137,507212239,-19660157773,
%T -1534286839615,27078190344737,5127629801969359,-4354576731731957,
%U -19138555408161520031,-307693278714841022935,78864026725309421626319,2796693049208887888175843,-352296833660767673546447999
%N Numerator of Hermite(n, 17/26).
%H G. C. Greubel, <a href="/A160076/b160076.txt">Table of n, a(n) for n = 0..422</a>
%F From _G. C. Greubel_, Sep 23 2018: (Start)
%F a(n) = 13^n * Hermite(n, 17/26).
%F E.g.f.: exp(17*x - 169*x^2).
%F a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(17/13)^(n-2*k)/(k!*(n-2*k)!)). (End)
%e Numerators of 1, 17/13, -49/169, -12325/2197, -159839/28561
%t Numerator[HermiteH[Range[0,30],17/26]] (* _Harvey P. Dale_, May 06 2013 *)
%t Table[13^n*HermiteH[n, 17/26], {n, 0, 30}] (* _G. C. Greubel_, Sep 23 2018 *)
%o (PARI) a(n)=numerator(polhermite(n, 17/26)) \\ _Charles R Greathouse IV_, Jan 29 2016
%o (PARI) x='x+O('x^30); Vec(serlaplace(exp(17*x - 169*x^2))) \\ _G. C. Greubel_, Sep 23 2018
%o (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(17/13)^(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
%Y Cf. A001022 (denominators).
%K sign,frac
%O 0,2
%A _N. J. A. Sloane_, Nov 12 2009
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