Fuga- family

Gar-
Gar- is a prefix used on a number to indicate its square: gar-x = x2. It was invented by Kieran Cockburn.

It is equivalent to x*x.

Fz-
Fz- or Bar- is a prefix used on a number n to indicate nn or equivalently 2n (i.e n tetrated to 2). It was invented by Allstair Cockburn to continue the gar- prefix invented by his son. Fz(n) or Bar(n) is equivalent to n[3] (triangle(n)), using Steinhaus-Moser notation.

The first few values of fz-n are:

Fuga-
Fuga- is a prefix used on a number n to indicate nn (n-1), or n↓↓n in down-arrow notation. It was invented by Allstair Cockburn to continue the idea of the gar- prefix invented by his son. It is an example of a function with growth rates slightly above double-exponential.

The first few values of fuga-n are:

Megafuga-
Megafuga- is a prefix used on a number n to indicate nn using tetration (i.e. n pentated to 2).

Alistair Cockburn has kept fuga- as the former, and named the latter "megafuga-".

Houben noted, using a computer, that megafuga(4) is about 41.34*10 153, somewhat larger than 410 100 , and concluded that "computing all [the] digits of megafuga(4) will never happen." The leading digits of that number are: 236102267145973132...

The first five values of megafuga-x are:

Booga-
Booga- is a prefix used on a number n to indicate n↑n-2n or equivalently n↑n-12. It may also be defined as "n n-ated to n" or equivalently "n n+1-ated to 2". The term was coined by Sbiis Saibian. It is equivalent to the sequence of Chihiro numbers, and is closely related to the Ackermann function and the Ackermann numbers. In Notation Array Notation, it can be expressed as (n{2,n-2}n) or (n{2,n-1}2).

Here are some examples:

-platon
-platon is a prefix used on a number n to indicate n↑n-1n or equivalently n↑n2.

Here are some examples: