1\name{BernoulliQ}
2\alias{BernoulliQ}
3\title{Exact Bernoulli Numbers}
4\description{%% ../R/Stirling-n-etc.R :
5  Return the \eqn{n}-th Bernoulli number \eqn{B_n}, (or \eqn{B_n^+}{Bn+},
6  see the reference), where \eqn{B_1 = + \frac 1 2}{B_1 = + 1/2}.
7}
8\usage{
9BernoulliQ(n, verbose = getOption("verbose", FALSE))
10}
11\arguments{
12  \item{n}{integer \emph{vector}, \eqn{n \ge 0}{n >= 0}.}
13  \item{verbose}{logical indicating if computation should be traced.}
14}
15\value{
16  a big rational (class \code{\link[=bigq-class]{"bigq"}}) vector of the
17  Bernoulli numbers \eqn{B_n}.
18}
19\references{\url{https://en.wikipedia.org/wiki/Bernoulli_number}
20}
21\author{Martin Maechler}
22\seealso{
23  \code{\link[Rmpfr]{Bernoulli}} in \CRANpkg{Rmpfr} in arbitrary precision
24  via Riemann's \eqn{\zeta}{zeta} function.
25  % \code{\link[DPQ]{Bern}(n)}
26  \code{Bern(n)} in \CRANpkg{DPQ} uses standard (double precision)
27  \R arithmetic for the n-th Bernoulli number.
28}
29\examples{
30(Bn0.10 <- BernoulliQ(0:10))
31}
32