# Conway's chained arrow notation

## Primary tabs

Synonym:
chained arrow notation, chained arrow, chained-arrow, chained-arrow notation, Conway notation
Type of Math Object:
Definition
Major Section:
Reference

## Mathematics Subject Classification

### chained arrow notation

I don't believe the definition and examples are complete. If p is greater than one, m->...n-> is repeated p+1 times, and q is repeated p times.

Forex,

3 -> 2 -> 4 -> 4

= 3 -> 2 -> (3 -> 2 -> (3 -> 2 -> (3 -> 2) -> 3) -> 3) -> 3
Therefore parentheses are balanced out. Continuing from the innermost pair of parentheses-

= 3 -> 2 -> (3 -> 2 -> (3 -> 2 -> 9 -> 3) -> 3) -> 3

... etc.