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

Extension!

First, let define n!1,2 = n!n!

Then, n!2,2 = n!n! n!

Then, n!1,3 = n!n,2

Then, n!2,3 = n!n! n,2,2

and so on...

Then, n!1,4 is a nest of n!n,3, n!1,5 is a nest of n!n,4, and so on and so on.

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

More coming soon!

Hope this eventually gets into f_2w. (the multi entry expansion (coming soon))