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Denominator of Laguerre(n, 6).
2

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

%S 1,1,1,1,1,5,1,35,35,1,175,385,1925,25025,35035,875875,5005,14889875,

%T 14889875,11316305,1414538125,1980353375,108919435625,357878145625,

%U 26369968625,62628675484375,162834556259375,814172781296875

%N Denominator of Laguerre(n, 6).

%H G. C. Greubel, <a href="/A160632/b160632.txt">Table of n, a(n) for n = 0..500</a>

%t Denominator[LaguerreL[Range[0,30],6]] (* _Harvey P. Dale_, May 26 2013 *)

%o (PARI) for(n=0,30, print1(denominator(sum(k=0,n, binomial(n,k)*((-6)^k/k!))), ", ")) \\ _G. C. Greubel_, May 06 2018

%o (Magma) [Denominator((&+[Binomial(n,k)*((-6)^k/Factorial(k)): k in [0..n]])): n in [0..30]]; // _G. C. Greubel_, May 06 2018

%Y For numerators see A160631.

%K nonn,frac

%O 0,6

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