Aarex function

The first Aarex function is the function invented by Aarex Tiaokhiao and defined as follows:

\(Arx(1,m) = 10^6\) (if n=1)

\(Arx(n,1) = \varxi(Arx(n-1,1))\) (if m=1)

\(Arx(n,m) = Arx(Arx(n-1,m),m-1)\) (if n>1, m>1, number of entries=2)

\(Arx(a,b,c,\cdots,y,1) = Arx(a,b,c,\cdots,y)\) (last entry is 1)

\(Arx(a,b,c,\cdots,x,y,z) = Arx(Arx(a,b,c,\cdots,x,y,z-1),\cdots,Arx(a,b,c,\cdots,x,y,z-1))\)