farey: Farey sequences
In elliptic: Weierstrass and Jacobi Elliptic Functions

Description Usage Arguments Details Author(s) References See Also Examples

Returns the Farey sequence of order n

1	farey(n, print=FALSE, give.series = FALSE)

`n`	Order of Farey sequence
`print`	Boolean, with `TRUE` meaning to print out the text version of the Farey sequence in human-readable form. Default value of `FALSE` means not to print anything
`give.series`	Boolean, with `TRUE` meaning to return the series explicitly, and default `FALSE` meaning to return a 3 dimensional array as detailed below

If give.series takes its default value of FALSE, return a matrix a of dimension c(2,u) where u is a (complicated) function of n. If v <- a[i,], then v[1]/v[2] is the i-th term of the Farey sequence. Note that det(a[(n):(n+1),])== -1

If give.series is TRUE, then return a matrix a of size c(4,u-1). If v <- a[i,], then v[1]/v[2] and v[3]/v[4] are successive pairs of the Farey sequence. Note that det(matrix(a[,i],2,2))== -1

Robin K. S. Hankin

G. H. Hardy and E. M. Wright 1985. An introduction to the theory of numbers, Oxford University Press (fifth edition)

unimodular