User blog comment:Googleaarex/Factorial N-ational/@comment-25371339-20140918003952/@comment-25371339-20140918004548

Extension!

First, let define n!1,1,2 = n!1,n.

Then, n!2,1,2 = n!1,n! 1,n.

Then, n!1,2,2 = n!n,1,2.

We can define the other numbers using the other methods.

Then, a four entry array is an extension of a three entry array, a five entry array is an extension of a four entry array, etc.

The limit is an N-entry array = n!1,1,1,...,1,1,2