Zseq (version 0.1.1)

Catalan: Catalan numbers

Description

Under OEIS A000108, the nth Catalan number is given as $$C_n = \frac{(2n)!}{(n+1)!n!}$$ where the first 6 entries are 1, 1, 2, 5, 14, 42 with \(n\ge 0.\)

Usage

Catalan(n, Rmpfr = TRUE, PrecisionBits = 496)

Arguments

n

the number of first n entries from the sequence.

Rmpfr

a logical; TRUE to use large number representation, FALSE otherwise.

PrecisionBits

a positive integer for precision bits larger than 2.

Value

a vector of length n containing first entries from the sequence.

Examples

# NOT RUN {
## generate first 30 Catalan numbers
first30 = Catalan(30)

## print without trailing 0's.
print(first30, drop0trailing = TRUE)

# }