User blog:Nayuta Ito/Intuitive Arrow Notation

This notation is supposed to express Linear Omega Level intuitively, so don't expect it to go any higher.

Intuitive Definition
a[c]b is supposed to be $$a\uparrow^c b$$.

a[c,d]b is supposed to be: a^^^...^^^b       -- /w a^^^...^^^b arrows  ^ /w a^^^...^^^b arrows d rows ...........         v /w a^^^...^^^b arrows -- c

In words, it's "start with c and then stack d more rows."

a[c,d,e]b is supposed to be the figure above extended to the left, meaning "start with c and then stack d more rows, and stack that e rows to the left."

Same extension applies to a[c,d,e,f]b, a[c,e,d,f,g]b, and so on.

Formal Definition

 * 1) is an array.

a[#,1]b=a[#]b

a[#,n,m]b=a[#,a[#,n]b,m-1]b

Examples
3->3->64->2=3[27,63]3=3[1,64]4

Graham's number=3[4,64]3

3->3->65->2=3[27,64]3