User blog comment:Googleaarex/Factorial N-ational/@comment-25371339-20140918003952/@comment-25371339-20140919234655

Oh.

My extension:

n!1 ,1,2  = n!1(1(1(...(1(1(1(n)2)2)2)...)2)2)2 w/ n levels

n!2 ,1,2  = n!1(1(1(...(1(1(1(n)2)2)2)...)2)2)2 w/ n!1(1(1(...(1(1(1(n)2)2)2)...)2)2)2 w/ n levels levels

n!1,2 ,1,2  = n!n ,1,2

n!2,2 ,1,2  = n!n! n ,1,2 ,1 ,2

n!1,3 ,1,2  = n!n,2 ,1,2

n!1,1,2 ,1,2  = n!1,n ,1,2

n!1(2)2 ,1,2  = n!1,1,1,...,1,1,2 ,1,2  w/ n entries

More coming soon!