A160589 Denominator of Laguerre(n, -10).

1, 1, 1, 3, 3, 3, 9, 63, 63, 567, 81, 6237, 1701, 243243, 1702701, 5108103, 5108103, 1772199, 781539759, 14849255421, 14849255421, 311834363841, 3430178002251, 7172190368343, 33811754593617, 236682282155319, 3076869668019147

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..500

Crossrefs

For numerators see A160587.

Cf. A289216.

Programs

Magma

[Denominator((&+[Binomial(n,k)*(10^k/Factorial(k)): k in [0..n]])): n in [0..30]]; // G. C. Greubel, May 13 2018

Mathematica

Denominator[Table[LaguerreL[n, -10], {n, 0, 50}]] (* G. C. Greubel, May 13 2018 *)

PARI

for(n=0,30, print1(denominator(sum(k=0,n, binomial(n,k)*(10^k/k!))), ", ")) \\ G. C. Greubel, May 13 2018

PARI

a(n) = denominator(pollaguerre(n, 0, -10)); \\ Michel Marcus, Feb 05 2021