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%I #13 Sep 08 2022 08:45:44
%S 1,15,-113,-11835,-62943,15056775,332225295,-25551760275,
%T -1169321452095,51552138002175,4330357927305615,-109290857537767275,
%U -17739633636788785695,177189213621352281975,80605788404370208573455,370627467209314130296125,-403111935202017245512974975
%N Numerator of Hermite(n, 15/26).
%H G. C. Greubel, <a href="/A160075/b160075.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, 15/26).
%F E.g.f.: exp(15*x - 169*x^2).
%F a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(15/13)^(n-2*k)/(k!*(n-2*k)!)). (End)
%e Numerators of 1, 15/13, -113/169, -11835/2197, -62943/28561
%t Numerator[HermiteH[Range[0,20],15/26]] (* _Harvey P. Dale_, Mar 13 2018 *)
%t Table[13^n*HermiteH[n, 15/26], {n, 0, 30}] (* _G. C. Greubel_, Sep 23 2018 *)
%o (PARI) a(n)=numerator(polhermite(n, 15/26)) \\ _Charles R Greathouse IV_, Jan 29 2016
%o (PARI) x='x+O('x^30); Vec(serlaplace(exp(15*x - 169*x^2))) \\ _G. C. Greubel_, Sep 23 2018
%o (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(15/13)^(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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