User blog:Googleaarex/Tetrational Arrays

Tetrational Arrays up to X^^n. (0,1) = (X) X^X (0,n) = (X,n-1) X^(X*n) (n,m) X^((X*m)+n) (0,0,1) = (X,X) X^X^2 (n,m,k) X^(((X^2)*k)+(X*m)+n) ((1)1) = (0,0,...X 0's...,0,0,1) X^X^X (1(1)1) X^((X^X)+1) (0,1(1)1) = (X(1)1) X^((X^X)+X) (0,0,1(1)1) = (X,X(1)1) X^((X^X)+X^2) ((1)2) = (0,...X 0's...,0,1(1)1) X^((X^X)*2) ((1)3) = (0,...X 0's...,0,1(1)2) X^((X^X)*3) ((1)0,1) = ((1)X) X^X^(X+1) ((1)(1)1) = ((1)0,...X 0's...,0,1) X^X^(X*2) ((1)1(1)1) = (0,...X 0's...,0,1(1)(1)1) X^(X^(X*2)+X) ((1)(1)(1)1) = ((1)(1)0,...X 0's...,0,1) X^X^(X*3) ((2)1) = ((1)(1)...X (1)'s...(1)(1)1) X^X^X^2 ((2)2) = ((1)(1)...X (1)'s...(1)(1)1(2)1) X^((X^X^2)*2) ((2)0,1) = ((2)X) X^X^((X^2)+1) (4,2(1)6,7(1)7,8(2)7,8,5) X^(4+(2*X)+(6*X^X)+(7*X^(X+1))+(7*X^(2*X))+(8*X^((2*X)+1))+(7*X^X^2)+(8*X^((X^2)+1))+(6*X^((X^2)+2))) ((2)(1)1) = ((2)0,...X 0's...,0,1) X^X^((X^2)+X) ((2)1(1)1) = ((2)0,...X 0's...,0,1(1)1) X^(X^((X^2)+X)+X) ((2)(2)1) = ((2)(1)(1)...X (1)'s...(1)(1)1) X^X^((X^2)*2) ((3)1) = ((2)(2)...X (2)'s...(2)(2)1) X^X^X^3 ((0,1)1) = ((X)1) X^X^X^X (((1)1)1) = ((0,0,...X 0's...,0,0,1)1) X^X^X^X^X (((0,1)1)1) = (((X)1)1) X^X^X^X^X^X

We need tetrational rules.