A160605 - OEIS

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

%S 1,8,79,458,12113,22394,2921911,1856741,142939831,369403781,

%T 65257860137,382924264759,38054710694503,31162073928841,

%U 3924727189601143,28342240146349903,3424956884584928081,13496977684191852821

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

%H G. C. Greubel, <a href="/A160605/b160605.txt">Table of n, a(n) for n = 0..455</a>

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

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

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

%Y For denominators see A160606.

%K nonn,frac

%O 0,2

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