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%I #15 Sep 08 2022 08:45:44
%S 1,46,866,-75164,-6705044,67387976,45006371896,1564883287216,
%T -321821122878064,-30452604524550944,2219667824248876576,
%U 482762276472335122496,-8313367865694637285184,-7623849068906980152558464,-215604829352183231133449344
%N Numerator of Hermite(n, 23/25).
%H G. C. Greubel, <a href="/A160067/b160067.txt">Table of n, a(n) for n = 0..380</a>
%F From _G. C. Greubel_, Sep 23 2018: (Start)
%F a(n) = 25^n * Hermite(n, 23/25).
%F E.g.f.: exp(46*x - 625*x^2).
%F a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(46/25)^(n-2*k)/(k!*(n-2*k)!)). (End)
%e Numerators of 1, 46/25, 866/625, -75164/15625, -6705044/390625, ...
%t Table[25^n*HermiteH[n, 23/25], {n, 0, 30}] (* _G. C. Greubel_, Sep 23 2018 *)
%o (PARI) a(n)=numerator(polhermite(n, 23/25)) \\ _Charles R Greathouse IV_, Jan 29 2016
%o (PARI) x='x+O('x^30); Vec(serlaplace(exp(46*x - 625*x^2))) \\ _G. C. Greubel_, Sep 23 2018
%o (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(46/25)^(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. A009969 (denominators).
%K sign,frac
%O 0,2
%A _N. J. A. Sloane_, Nov 12 2009
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