## Arrow Notation

A Notation invented by Knuth (1976) to represent Large Numbers in which evaluation proceeds from the right (Conway and Guy 1996, p. 60).

For example,

 (1) (2) (3) (4) (5)

is sometimes called a Power Tower. The values are called Ackermann Numbers.

See also Ackermann Number, Chained Arrow Notation, Down Arrow Notation, Large Number, Power Tower, Steinhaus-Moser Notation

References

Conway, J. H. and Guy, R. K. The Book of Numbers. New York: Springer-Verlag, pp. 59-62, 1996.

Guy, R. K. and Selfridge, J. L. The Nesting and Roosting Habits of the Laddered Parenthesis.'' Amer. Math. Monthly 80, 868-876, 1973.

Knuth, D. E. Mathematics and Computer Science: Coping with Finiteness. Advances in Our Ability to Compute are Bringing Us Substantially Closer to Ultimate Limitations.'' Science 194, 1235-1242, 1976.

Vardi, I. Computational Recreations in Mathematica. Redwood City, CA: Addison-Wesley, pp. 11 and 226-229, 1991.