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A160608 Denominator of Laguerre(n, -6). 4

%I #11 Sep 08 2022 08:45:45

%S 1,1,1,1,1,5,5,35,5,35,175,1925,275,25025,175175,125125,875875,

%T 14889875,14889875,282625,1414538125,9901766875,2222845625,

%U 2505147019375,2505147019375,62628675484375,116310397328125,814172781296875

%N Denominator of Laguerre(n, -6).

%H G. C. Greubel, <a href="/A160608/b160608.txt">Table of n, a(n) for n = 0..500</a>

%t Denominator[Table[LaguerreL[n, -6], {n, 0, 50}]] (* _G. C. Greubel_, May 12 2018 *)

%o (PARI) for(n=0,30, print1(denominator(sum(k=0,n, binomial(n,k)*(6^k/k!))), ", ")) \\ _G. C. Greubel_, May 12 2018

%o (PARI) a(n) = denominator(pollaguerre(n, 0, -6)); \\ _Michel Marcus_, Feb 05 2021

%o (Magma) [Denominator((&+[Binomial(n,k)*(6^k/Factorial(k)): k in [0..n]])): n in [0..30]]; // _G. C. Greubel_, May 12 2018

%Y For numerators see A160607.

%Y Cf. A289212.

%K nonn,frac

%O 0,6

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

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Last modified September 13 08:24 EDT 2024. Contains 375902 sequences. (Running on oeis4.)