gmp (version 0.7-5)

BernoulliQ: Exact Bernoulli Numbers

Description

Return the \(n\)-th Bernoulli number \(B_n\), (or \(B_n^+\), see the reference), where \(B_1 = + \frac 1 2\).

Usage

BernoulliQ(n, verbose = getOption("verbose", FALSE))

Value

a big rational (class "bigq") vector of the Bernoulli numbers \(B_n\).

Arguments

n

integer vector, \(n \ge 0\).

verbose

logical indicating if computation should be traced.

Author

Martin Maechler

References

https://en.wikipedia.org/wiki/Bernoulli_number

See Also

Bernoulli in Rmpfr in arbitrary precision via Riemann's \(\zeta\) function. Bern(n) in DPQ uses standard (double precision) R arithmetic for the n-th Bernoulli number.

Examples

(Bn0.10 <- BernoulliQ(0:10))