A160614 Denominator of Laguerre(n, -3).

1, 1, 2, 1, 8, 10, 80, 35, 4480, 1120, 6400, 61600, 1971200, 6406400, 358758400, 112112000, 28700672000, 17425408000, 975822848000, 2317579264000, 370812682240000, 49917091840000, 57105153064960000, 41044328765440000

Offset: 0

Author

N. J. A. Sloane, Nov 14 2009

Keywords

• nonn
• frac

Links

• G. C. Greubel, Table of n, a(n) for n = 0..499

Crossrefs

For numerators see A160613.

Cf. A277382.

Programs

Magma

[Denominator((&+[Binomial(n,k)*(3^k/Factorial(k)): k in [0..n]])): n in [0..30]]; // G. C. Greubel, May 06 2018

Mathematica

Denominator[Table[LaguerreL[n, -3], {n, 0, 50}]] (* G. C. Greubel, May 06 2018 *)

PARI

for(n=0,30, print1(denominator(sum(k=0,n, binomial(n,k)*(3^k/k!))), ", ")) \\ G. C. Greubel, May 06 2018