R: Exact Bernoulli Numbers

BernoulliQ {gmp} | R Documentation

## Exact Bernoulli Numbers

### Description

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

### Usage

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

### Arguments

`n` | integer vector, n >= 0.
`verbose` | logical indicating if computation should be traced.

### Value

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

### Author(s)

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))

[Package gmp version 0.6-2 Index]