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%I #11 Sep 08 2022 08:45:43
%S 1,2,-574,-3460,988396,9976312,-2836511816,-40270873648,
%T 11395985060240,209004489868832,-58863905303630816,
%U -1325773762049110592,371605162396386506944,9938777138365404080000,-2772363635969717405017216,-85969311875592284625394432,23864454100106265332248473856
%N Numerator of Hermite(n, 1/17).
%H G. C. Greubel, <a href="/A159529/b159529.txt">Table of n, a(n) for n = 0..404</a>
%F From _G. C. Greubel_, Jun 09 2018: (Start)
%F a(n) = 17^n * Hermite(n,1/17).
%F E.g.f.: exp(2*x-289*x^2).
%F a(n) = Sum_{k=0..floor(n/2)} (-1)^k*n!*(2/17)^(n-2k)/(k!*(n-2k)!). (End)
%t Numerator[Table[HermiteH[n,1/17],{n,0,50}]] (* _Vladimir Joseph Stephan Orlovsky_, Apr 29 2011 *)
%o (PARI) a(n)=numerator(polhermite(n,1/17)) \\ _Charles R Greathouse IV_, Jan 29 2016
%o (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(2/17)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // _G. C. Greubel_, Jun 09 2018
%Y Cf. A159521.
%K sign,frac
%O 0,2
%A _N. J. A. Sloane_, Nov 12 2009
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