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Denominator of Laguerre(n, 5).
2

%I #7 Sep 08 2022 08:45:45

%S 1,1,2,3,24,6,144,126,8064,2592,145152,24948,19160064,8895744,

%T 3487131648,1307674368,23911759872,711374856192,51218989645824,

%U 5529322745856,556091887583232,20436376868683776,1798401164444172288

%N Denominator of Laguerre(n, 5).

%H G. C. Greubel, <a href="/A160630/b160630.txt">Table of n, a(n) for n = 0..480</a>

%t Denominator[Table[LaguerreL[n,5], {n, 0, 50}]] (* _G. C. Greubel_, May 07 2018 *)

%o (PARI) for(n=0,30, print1(denominator(sum(k=0,n, binomial(n,k)*((-5)^k/k!))), ", ")) \\ _G. C. Greubel_, May 07 2018

%o (Magma) [Denominator((&+[Binomial(n,k)*((-5)^k/Factorial(k)): k in [0..n]])): n in [0..30]]; // _G. C. Greubel_, May 07 2018

%Y For numerators see A160629.

%K nonn,frac

%O 0,3

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