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

0,4

Links

G. C. Greubel, Table of n, a(n) for n = 0..500

Mathematica

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

Prog

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

Crossrefs

For numerators see A160587.

Cf. A289216.

Sequence in context: A298315 A299189 A231651 * A097707 A240533 A115282

Adjacent sequences: A160586 A160587 A160588 * A160590 A160591 A160592

Keyword

nonn,frac

Author

N. J. A. Sloane, Nov 14 2009

Status

approved