The factorial of a number, written as n!, is defined as n! = n(n-1)(n-2)...(2)(1). [http://mathworld.wolfram.com/Multifactorial.html Multifactorials] generalize factorials as follows: : n! = n(n-1)(n-2)...(2)(1) : n!! = n(n-2)(n-4)... : n!! ! = n(n-3)(n-6)... : n!! !! = n(n-4)(n-8)... : n!! !! ! = n(n-5)(n-10)... In all cases, the terms in the products are 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 twofold: # 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 ten members (1 to 10) of the first five degrees of multifactorial. '''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].