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The trisept is equal to $$\lbrace7,7,7 \rbrace$$ or $$7\lbrace7\rbrace7$$ (7 enneated to 7) in BEAF.[1] The term was coined by Jonathan Bowers. This is the seventh Ackermann number.

## Etymology

The name of this number is based on tri- (three) and septa- (seven), meaning that there are 3 7's in the array.

## Approximations

Notation Approximation
BEAF $$\{7,7,7\}$$ (exact)
Up-arrow notation $$7\uparrow^{7} 7$$ (exact)
Chained arrow notation $$7\rightarrow 7\rightarrow 7$$ (exact)
Hyperfactorial array notation $$9!6$$
Notation Array Notation $$(7\{3,3\}7)$$ (exact)
Fast-growing hierarchy $$f_{8}(7)$$
Hardy hierarchy $$H_{\omega^{7}5}(7)$$
Slow-growing hierarchy $$g_{\varphi(6,0)}(7)$$

## Sources

1. Bowers, JonathanInfinity Scrapers. Retrieved January 2013.

Tritri series: tritri · tritet · tripent · trisept · tridecal · grand tridecal
Tetratri series: tetratri · supertet · general(plex)
Pentatri series: pentatri · superpent · pentadecal(plex)
Hexatri series: hexatri · superhex · hexadecal(plex)
Heptatri series: heptatri · supersept · heptadecal
Iteral series: superoct · octadecal · superenn · ennadecal · iteral · ultatri
Dupertri series: dupertri · duperdecal · truperdecal · quadruperdecal
Latri series: latri · emperal(plex) · hyperal(plex) · admiral
Dutritri series: dutritri · dutridecal
Dimentri series: dimentri · dulatri · trilatri · trimentri
Triakulus series: triakulus · tridecatrix
Big boowa series: big boowa · great big boowa · grand boowa
Tiaokhiao's extensions: trihex · trioct · triennet · triundecal · tridodecal · tritriplex · tritriplexian · grand tritri · tetrapent · tetrahex · grand tetratri · octatri · enneatri · decatri · undecatri · dodecatri
RedBandServerYT's extensions: tridecalplex