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+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: ZZ+ complete: 'no'+Numbers:+ '0': '1'+ '1': '1'+ '2': '2'+ '3': '6'+ '4': '24'+ '5': '120'+ '6': '720'+ '7': '5040'+ '8': '40320'+ '9': '362880'+ '10': '3628800'+ '11': '39916800'+ '12': '479001600'+ '13': '6227020800'+ '14': '87178291200'+ '15': '1307674368000'+ '16': '20922789888000'+ '17': '355687428096000'+ '18': '6402373705728000'+ '19': '121645100408832000'+ '20': '2432902008176640000'+ 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