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%I #19 Sep 08 2022 08:45:45
%S 1,4,-1666,-20120,8326156,168671984,-69348284024,-1979630798624,
%T 808588172904080,29872264717900864,-12120918702550359584,
%U -550935167365293970816,222057497165125577139904,12008305406761595815509760,-4807476011385589486479101824
%N Numerator of Hermite(n, 2/29).
%H Vincenzo Librandi, <a href="/A160225/b160225.txt">Table of n, a(n) for n = 0..100</a>
%F From _G. C. Greubel_, Jul 12 2018: (Start)
%F a(n) = 29^n * Hermite(n, 2/29).
%F E.g.f.: exp(4*x - 841*x^2).
%F a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(4/29)^(n-2*k)/(k!*(n-2*k)!)). (End)
%e Numerators of 1, 4/29, -1666/841, -20120/24389, 8326156/707281
%t Table[Numerator[HermiteH[n, 2/29]], {n, 0, 15}] (* _Wesley Ivan Hurt_, Feb 25 2014 *)
%t Table[29^n*HermiteH[n, 2/29], {n,0,30}] (* _G. C. Greubel_, Jul 12 2018~ *)
%o (PARI) a(n)=numerator(polhermite(n,2/29)) \\ _Charles R Greathouse IV_, Jan 29 2016
%o (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(4/29)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // _G. C. Greubel_, Jul 12 2018
%Y Cf. A009973 (denominators).
%K sign,frac
%O 0,2
%A _N. J. A. Sloane_, Nov 12 2009
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