A160608 Denominator of Laguerre(n, -6).

1, 1, 1, 1, 1, 5, 5, 35, 5, 35, 175, 1925, 275, 25025, 175175, 125125, 875875, 14889875, 14889875, 282625, 1414538125, 9901766875, 2222845625, 2505147019375, 2505147019375, 62628675484375, 116310397328125, 814172781296875

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 A160607.

Cf. A289212.

Programs

Magma

[Denominator((&+[Binomial(n,k)*(6^k/Factorial(k)): k in [0..n]])): n in [0..30]]; // G. C. Greubel, May 12 2018

Mathematica

Denominator[Table[LaguerreL[n, -6], {n, 0, 50}]] (* G. C. Greubel, May 12 2018 *)

PARI

for(n=0,30, print1(denominator(sum(k=0,n, binomial(n,k)*(6^k/k!))), ", ")) \\ G. C. Greubel, May 12 2018

PARI

a(n) = denominator(pollaguerre(n, 0, -6)); \\ Michel Marcus, Feb 05 2021