Catalan

A000108

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the number of first <code>n</code> entries from the sequence.

a logical; <code>TRUE</code> to use large number representation, <code>FALSE</code> otherwise.

Under OEIS <a href="https://oeis.org/A000108">A000108</a>, 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 $n\ge 0.$

Generates well-known integer sequences. 'gmp' package is adopted for computing with arbitrarily large numbers. Every function has hyperlink to its corresponding item in OEIS (The On-Line Encyclopedia of Integer Sequences) in the function help page. For interested readers, see Sloane and Plouffe (1995, ISBN:978-0125586306).

Kisung You

Zseq

Integer Sequence Generator

Catalan function

<dl><dt>n</dt>
<dd>the number of first <code>n</code> entries from the sequence.</dd>
<dt>gmp</dt>
<dd>a logical; <code>TRUE</code> to use large number representation, <code>FALSE</code> otherwise.</dd></dl>

Arguments

Under OEIS <a href='https://oeis.org/A000108'>A000108</a>, 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 $n\ge 0.$

Catalan numbers — Catalan

<dl>

<dt>n</dt>
<dd>the number of first <code>n</code> entries from the sequence.</dd>


<dt>gmp</dt>
<dd>a logical; <code>TRUE</code> to use large number representation, <code>FALSE</code> otherwise.</dd>

</dl>

Catalan: Catalan numbers

Description

Usage

Value

Arguments

Examples