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#' Number of steps for Juggler sequence
#'
#' Under OEIS \href{https://oeis.org/A007320}{A007320}, a \emph{Number of steps for Juggler sequence} literally counts the number of steps
#' required for a sequence that starts from \code{n}. First 6 terms are 0, 1, 6, 2, 5, 2 that \code{n} starting from 0 is conventional choice.
#' Note that when it counts \emph{number of steps}, not the length of the sequence including the last 1.
#'
#' @param n the number of first \code{n} entries from the sequence.
#' @param gmp a logical; \code{TRUE} to use large number representation, \code{FALSE} otherwise.
#'
#' @return a vector of length \code{n} containing first entries from the sequence.
#'
#' @examples
#' ## generate first 10 numbers of steps for Juggler sequences
#' print(Juggler.Nsteps(10))
#'
#' @seealso \code{\link{Juggler}}
#' @rdname A007320
#' @aliases A007320
#' @export
Juggler.Nsteps <- function(n, gmp=TRUE){
## Preprocessing for 'start'
n = check_n(n)
## Main Computation : first, compute in Rmpfr form
output = as.bigz(numeric(n))
for (i in 2:n){
output[i] = length(Juggler(i))-1
}
## Rmpfr
if (!gmp){
output = as.integer(output)
}
return(output)
}
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