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The latri is equal to {3,3,3 (1) 2} = {3,3 (1) 3} = {3,2 (1) 4} in BEAF.[1] The term was coined by Jonathan Bowers.

Latri is comparable to \(f_{\omega^\omega+2}(3)\) in the fast-growing hierarchy.

Computation Edit

Latri can be computed in the following process:

  1. Let a1 = 3.
  2. Let a2 = {3,3,3} (a.k.a. tritri).
  3. Let a3 = {3,3,...,3,3} (where the number of threes is a2) = {3,{3,3,3} (1) 2} (a.k.a. dupertri).
  4. Continuing, let an = {3,3,...,3,3} (with an - 1 threes) = {3,an - 1 (1) 2}.
  5. Latri is equal to aa3.

Approximations Edit

Notation Approximation
Bird's array notation \(\{3,3,3 [2] 2\}\) (exact)
Cascading-E notation \(E100\#\text^\#100\#100\#3\)
Hyperfactorial array notation \(3![3,1,1,2]\)
Fast-growing hierarchy \(f_{\omega^{\omega}+1}(f_{\omega^{\omega}}(\text{tritri}))\)
X-Sequence Hyper-Exponential Notation \(3\{X^X+1\}3\{X^X\}3\{3\}3\)
Hardy hierarchy \(H_{\omega^{\omega^{\omega}+1}+\omega^{\omega^{\omega}}+\omega^{4}}(3)\)
Slow-growing hierarchy \(g_{\theta(\Omega^\Omega,\theta(\Omega^\Omega))}(3)\)

Sources Edit

  1. Bowers, JonathanInfinity Scrapers. Retrieved January 2013.

See also Edit

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

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