login
Denominator of Laguerre(n, 8).
2

%I #12 Sep 08 2022 08:45:45

%S 1,1,1,3,3,15,45,315,45,2835,14175,155925,66825,6081075,42567525,

%T 91216125,638512875,10854718875,97692469875,2228279625,9280784638125,

%U 14992036723125,18015640768125,49308808782358125,147926426347074375

%N Denominator of Laguerre(n, 8).

%H G. C. Greubel, <a href="/A160639/b160639.txt">Table of n, a(n) for n = 0..500</a>

%t Denominator[LaguerreL[Range[0,30],8]] (* _Harvey P. Dale_, Jul 21 2013 *)

%o (PARI) for(n=0,30, print1(denominator(sum(k=0,n, binomial(n,k)*((-8)^k/k!))), ", ")) \\ _G. C. Greubel_, May 06 2018

%o (Magma) [Denominator((&+[Binomial(n,k)*((-8)^k/Factorial(k)): k in [0..n]])): n in [0..30]]; // _G. C. Greubel_, May 06 2018

%Y For numerators see A160635.

%K nonn,frac

%O 0,4

%A _N. J. A. Sloane_, Nov 14 2009