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Numerator of Laguerre(n, -8).
3

%I #13 Sep 08 2022 08:45:45

%S 1,9,49,619,737,35111,305917,1930753,14779003,46162429,139399997,

%T 92993347501,606843495583,5559358281401,240588034396789,

%U 660664176177209,682418523335551,471285453584720627,732894385728160361

%N Numerator of Laguerre(n, -8).

%H G. C. Greubel, <a href="/A160603/b160603.txt">Table of n, a(n) for n = 0..483</a>

%t Numerator[Table[LaguerreL[n, -8], {n, 0, 50}]] (* _G. C. Greubel_, May 13 2018 *)

%o (PARI) for(n=0,30, print1(numerator(sum(k=0,n, binomial(n,k)*(8^k/k!))), ", ")) \\ _G. C. Greubel_, May 13 2018

%o (PARI) a(n) = numerator(pollaguerre(n, 0, -8)); \\ _Michel Marcus_, Feb 05 2021

%o (Magma) [Numerator((&+[Binomial(n,k)*(8^k/Factorial(k)): k in [0..n]])): n in [0..30]]; // _G. C. Greubel_, May 13 2018

%Y For denominators see A160604.

%Y Cf. A289214.

%K nonn,frac

%O 0,2

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