A160610 - OEIS

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

%S 1,1,2,3,8,12,144,56,8064,36288,48384,798336,19160064,41513472,

%T 3487131648,5230697472,6199345152,1422749712384,51218989645824,

%U 162193467211776,3892643213082624,3144057979797504,599467054814724096

%N Denominator of Laguerre(n, -5).

%H G. C. Greubel, <a href="/A160610/b160610.txt">Table of n, a(n) for n = 0..480</a>

%t Denominator[Table[LaguerreL[n, -5], {n, 0, 50}]] (* _G. C. Greubel_, May 09 2018 *)

%o (PARI) for(n=0,30, print1(denominator(sum(k=0,n, binomial(n,k)*(5^k/k!))), ", ")) \\ _G. C. Greubel_, May 09 2018

%o (PARI) a(n) = denominator(pollaguerre(n, 0, -5)); \\ _Michel Marcus_, Feb 05 2021

%o (Magma) [Denominator((&+[Binomial(n,k)*(5^k/Factorial(k)): k in [0..n]])): n in [0..30]]; // _G. C. Greubel_, May 09 2018

%Y For numerators see A160609.

%Y Cf. A289211.

%K nonn,frac

%O 0,3

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