Difference between revisions of "Factorial"

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==Behavior==
 
==Behavior==
 
{{oeis|A000142}}
 
  
 
===Initial values===
 
===Initial values===
  
Here are the values of <math>n!</math> for small <math>n = 0,1,2,3,4,5,6,7</math>: <math>1,1,2,6,24,120,720,5040</math>.
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The initial values of <math>k!</math> for <math>k=0,1,2,3,4,\dots</math> are given as: <section begin="list"/>[[1]], [[2]], [[6]], [[24]], [[120]], [[720]], [[5040]], [[40320]], [[362880]] [[Oeis:A000142|View list on OEIS]]<section end="list"/>
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==Related notions==
 
==Related notions==

Revision as of 17:52, 3 July 2012

Definition

Let be a nonnegative integer. The factorial of , denoted , and read as n factorial, is defined as the product of all the natural numbers from to . Note that is defined as .

is also the order of the symmetric group, or the group of all permutations, on a set of size .

Behavior

Initial values

The initial values of for are given as: 1, 2, 6, 24, 120, 720, 5040, 40320, 362880 View list on OEIS


Related notions