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The tritet is equal to \( \lbrace 4,4,4 \rbrace = 4 \lbrace4\rbrace 4 \) (4 hexated to 4) in BEAF.[1] The term was coined by Jonathan Bowers. This is the fourth Ackermann number.

Tritet can be computed in the following process:

• \(a_1 = 4\)
• \(a_2 = 4 \uparrow\uparrow 4 = 4 \uparrow\uparrow\uparrow 2\) (this is tritet Jr.)
• \(a_3 = 4 \uparrow\uparrow a_2 = 4 \uparrow\uparrow\uparrow 3\)
• \(a_4 = 4 \uparrow\uparrow a_3 = 4 \uparrow\uparrow\uparrow 4\)
• etc.
• Tritet is equal to \(a_{a_{a_4}}\).

### EtymologyEdit

The name of this number is based on tri- (three) and tetra- (four), meaning that there are 3 4's in the array.

### Sources Edit

1. Template:Citation/CS1