A160618 Denominator of Laguerre(n, -1).

1, 1, 2, 3, 24, 60, 720, 2520, 40320, 25920, 3628800, 19958400, 479001600, 3113510400, 87178291200, 59439744000, 426995712000, 177843714048000, 582033973248000, 60822550204416000, 143111882833920000

Offset

0,3

Links

G. C. Greubel, Table of n, a(n) for n = 0..449

Mathematica

Denominator[Table[LaguerreL[n, -1], {n, 0, 50}]] (* G. C. Greubel, May 06 2018 *)

Prog

(PARI) lista(nn) = {x = 'x + O('x^nn); v = exp(x/(1-x))/(1-x); for (n=0, nn-1, print1(denominator(polcoeff(v, n)), ", "); ); } \\ Michel Marcus, Nov 27 2015
(PARI) for(n=0, 30, print1(denominator(sum(k=0, n, binomial(n, k)*(1/k!))), ", ")) \\ G. C. Greubel, May 06 2018
(Magma) [Denominator((&+[Binomial(n, k)*(1/Factorial(k)): k in [0..n]])): n in [0..30]]; // G. C. Greubel, May 06 2018

Crossrefs

For numerators see A160617.

Cf. A002720.

Sequence in context: A160667 A118204 A061355 * A279335 A343566 A057665

Adjacent sequences: A160615 A160616 A160617 * A160619 A160620 A160621

Keyword

nonn,frac

Author

N. J. A. Sloane, Nov 14 2009

Status

approved