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Denominator of Laguerre(n, -7).
2

%I #10 Sep 08 2022 08:45:45

%S 1,1,2,3,24,15,720,180,5760,6480,518400,1425600,68428800,27799200,

%T 1779148800,6671808000,426995712000,907365888000,130660687872000,

%U 620638267392000,49651061391360000,9309574010880000,3276970051829760000

%N Denominator of Laguerre(n, -7).

%H G. C. Greubel, <a href="/A160606/b160606.txt">Table of n, a(n) for n = 0..474</a>

%t Denominator[LaguerreL[Range[0,30],-7]] (* _Harvey P. Dale_, Oct 25 2011 *)

%o (PARI) for(n=0,30, print1(denominator(sum(k=0,n, binomial(n,k)*(7^k/k!))), ", ")) \\ _G. C. Greubel_, May 14 2018

%o (Magma) [Denominator((&+[Binomial(n,k)*(7^k/Factorial(k)): k in [0..n]])): n in [0..30]]; // _G. C. Greubel_, May 14 2018

%Y For numerators see A160605.

%K nonn,frac

%O 0,3

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