A160604 - OEIS

%I #13 Sep 08 2022 08:45:45

%S 1,1,1,3,1,15,45,105,315,405,525,155925,467775,2027025,42567525,

%T 58046625,30405375,10854718875,8881133625,206239658625,9280784638125,

%U 17717861581875,714620417135625,7044115540336875,147926426347074375

%N Denominator of Laguerre(n, -8).

%H G. C. Greubel, <a href="/A160604/b160604.txt">Table of n, a(n) for n = 0..500</a>

%t Denominator[Table[LaguerreL[n, -8], {n, 0, 50}]] (* _G. C. Greubel_, May 13 2018 *)

%o (PARI) for(n=0,30, print1(denominator(sum(k=0,n, binomial(n,k)*(8^k/k!))), ", ")) \\ _G. C. Greubel_, May 13 2018

%o (PARI) a(n) = denominator(pollaguerre(n, 0, -8)); \\ _Michel Marcus_, Feb 05 2021

%o (Magma) [Denominator((&+[Binomial(n,k)*(8^k/Factorial(k)): k in [0..n]])): n in [0..30]]; // _G. C. Greubel_, May 13 2018

%Y For numerators see A160603.

%Y Cf. A289214.

%K nonn,frac

%O 0,4

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