A160602 Denominator of Laguerre(n, -9).

1, 1, 2, 1, 8, 20, 16, 280, 4480, 64, 44800, 49280, 1971200, 1830400, 14350336, 896896000, 74547200, 243955712000, 6823936000, 109062553600, 52973240320000, 51913775513600, 3359126650880000, 93815608606720000, 2101469632790528000

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..492

Crossrefs

For numerators see A160601.

Cf. A289215.

Programs

Magma

[Denominator((&+[Binomial(n,k)*(9^k/Factorial(k)): k in [0..n]])): n in [0..30]]; // G. C. Greubel, May 13 2018

Mathematica

Denominator[Table[LaguerreL[n, -9], {n, 0, 50}]] (* G. C. Greubel, May 13 2018 *)

PARI

for(n=0,30, print1(denominator(sum(k=0,n, binomial(n,k)*(9^k/k!))), ", ")) \\ G. C. Greubel, May 13 2018

PARI

a(n) = denominator(pollaguerre(n, 0, -9)); \\ Michel Marcus, Feb 05 2021