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ID: INPUT{id.yaml} Title: > Factorial of natural numbers Definition: > The factorial of a non-negative integer $n$ is defined as $n! := 1\cdot 2\cdots n$. Parameters: n: type: Z constraints: $n \geq 0$ Comments: Formulas: formula-recursion: > $n! = n\cdot (n-1)!$ for $n \geq 1$. formula-gamma: > $n! = \Gamma(n+1)$ for $n \geq 0$. Programs: program-sage: language: Sage code: | numbers = {n.factorial() for n in [0..100]} References: Links: Wiki: title: "Wikipedia: Factorial" url: https://en.wikipedia.org/wiki/Factorial Similar tables: Keywords: Tags: - sequence - combinatorics Data properties: type: Z complete: no Display properties: number-header: $n!$ Numbers: INPUT{numbers.yaml}
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Factorial of natural numbers
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Numbers
$n$
$n!$
INPUT{numbers.yaml} (not shown in preview)
Definition
The factorial of a non-negative integer $n$ is defined as $n! := 1\cdot 2\cdots n$.
Parameters
$n$
— integer ($n \geq 0$)
Formulas
(1)
$n! = n\cdot (n-1)!$ for $n \geq 1$.
(2)
$n! = \Gamma(n+1)$ for $n \geq 0$.
Programs
(P1)
Sage
numbers = {n.factorial() for n in [0..100]}
Links
[1]
Wikipedia: Factorial
Data properties
Entries are of type: integer
Table is complete: no
