A160625 - OEIS

%I #9 Sep 08 2022 08:45:45

%S 1,-2,-1,1,11,17,-1,-209,-4967,-2377,-31361,-44549,670907,9518329,

%T 343496509,78783701,22768521641,119672922599,10898629213,

%U -2270181550733,-206731528257599,-91509891412157,-2949362928754771,-565723903687129379,-7753360902058576583,-69708311239418420641

%N Numerator of Laguerre(n, 3).

%H G. C. Greubel, <a href="/A160625/b160625.txt">Table of n, a(n) for n = 0..490</a>

%t Numerator[Table[LaguerreL[n,3], {n, 0, 50}]] (* _G. C. Greubel_, May 06 2018 *)

%o (PARI) for(n=0,30, print1(numerator(sum(k=0,n, binomial(n,k)*((-3)^k/k!))), ", ")) \\ _G. C. Greubel_, May 06 2018

%o (Magma) [Numerator((&+[Binomial(n,k)*((-3)^k/Factorial(k)): k in [0..n]])): n in [0..30]]; // _G. C. Greubel_, May 06 2018

%Y For denominators see A160626.

%K sign,frac

%O 0,2

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