aparler/RosettaCodeData
1
0
Fork 0
Code Issues 12 Pull requests 3 Projects Releases Packages Wiki Activity Actions

update meta data

Browse source
This commit is contained in:
Ingy döt Net 2013-04-11 12:07:39 -07:00
parent f3a896c724
commit 90e15ed6ce
3307 changed files with 1674 additions and 7 deletions
Download patch file Download diff file Expand all files Collapse all files

15
Task/Multifactorial/00DESCRIPTION Normal file
View file

@ -0,0 +1,15 @@
The factorial of a number, written as <math>n!</math> is defined as <math>n! = n(n-1)(n-2)...(2)(1)</math>
A generalization of this is the [http://mathworld.wolfram.com/Multifactorial.html multifactorials] where:
: <math>n! = n(n-1)(n-2)...(2)(1)</math>
: <math>n!! = n(n-2)(n-4)...</math>
: <math>n!! ! = n(n-3)(n-6)...</math>
: <math>n!! !! = n(n-4)(n-8)...</math>
: <math>n!! !! ! = n(n-5)(n-10)...</math>
: Where the products are for positive integers.
If we define the degree of the multifactorial as the difference in successive terms that are multiplied together for a multifactorial (The number of exclamation marks) then the task is to
# Write a function that given n and the degree, calculates the multifactorial.
# Use the function to generate and display here a table of the first 1..10 members of the first five degrees of multifactorial.
<small>'''Note:''' The [[wp:Factorial#Multifactorials|wikipedia entry on multifactorials]] gives a different formula. This task uses the [http://mathworld.wolfram.com/Multifactorial.html Wolfram mathworld definition].</small>