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Not to be confused with tripent.

Tripeno is equal to s(3,3,5) in strong array notation.[1] The term was coined by wiki user Hyp cos. It can be represented in up-arrow notation as $$3\uparrow\uparrow\uparrow\uparrow\uparrow3$$ (3 heptated to 3).

This number is also equal to s(3,2,6) and s(3,5,1,2).

Aarex Tiaokhiao calls this number biahal.[2]

## Etymology

The name of this number is based on the word "tri" and "penta" (Greek for 3 and 5), meaning a base-3 number, generated using hyper-5 operation based on exponentiation.

## Approximations

Notation Approximation
Arrow notation $$3\uparrow\uparrow\uparrow\uparrow\uparrow3$$ (exact)
BEAF $$\{3,3,5\}$$ (exact)
Hyper-E notation $$\textrm E[3]1\#1\#1\#1\#3$$ (exact)
Chained arrow notation $$3\rightarrow3\rightarrow5$$ (exact)
Hyperfactorial array notation $$4!4$$
Fast-growing hierarchy $$f_6(2)$$
Hardy hierarchy $$H_{\omega^6}(2)$$
Slow-growing hierarchy $$g_{\varphi(4,0)}(3)$$

## Sources

1. Numbers from linear array notation | Steps Toward Infinity!
2. Tiaokhiao, Aarex. Forcal - Aarex's Large Numbers. Retrieved 2021-05-30. (original link is dead)