A160610 Denominator of Laguerre(n, -5).

1, 1, 2, 3, 8, 12, 144, 56, 8064, 36288, 48384, 798336, 19160064, 41513472, 3487131648, 5230697472, 6199345152, 1422749712384, 51218989645824, 162193467211776, 3892643213082624, 3144057979797504, 599467054814724096

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..480

Crossrefs

For numerators see A160609.

Cf. A289211.

Programs

Magma

[Denominator((&+[Binomial(n,k)*(5^k/Factorial(k)): k in [0..n]])): n in [0..30]]; // G. C. Greubel, May 09 2018

Mathematica

Denominator[Table[LaguerreL[n, -5], {n, 0, 50}]] (* G. C. Greubel, May 09 2018 *)

PARI

for(n=0,30, print1(denominator(sum(k=0,n, binomial(n,k)*(5^k/k!))), ", ")) \\ G. C. Greubel, May 09 2018

PARI

a(n) = denominator(pollaguerre(n, 0, -5)); \\ Michel Marcus, Feb 05 2021