Penteto

The penteto is equal to s(5,5,4) in strong array notation.Numbers from linear array notation | Steps Toward Infinity! The term was coined by wiki user Hyp cos. It can be represented in up-arrow notation as \(5\uparrow\uparrow\uparrow\uparrow5\) (5 hexated to 5).
This number is also equal to s(5,2,5) and s(5,4,1,2).
==Etymology==
The name of this number is based on the word "penta" and "tetra" (Greek for 5 and 4), meaning a base-5 number, generated using hyper-4 operation based on exponentiation.
==Computation==
Penteto can be computed in the following process:
*\(f(1)=5\)
*\(f(2)=5^{5^{5^{5^5}}}\) with \(f(1)\) 5's, a.k.a. pentbo
*\(f(3)=5^{5^{\vdots^{5^5}}}\) with \(f(2)\) 5's
*\(f(4)=5^{5^{\vdots^{5^5}}}\) with \(f(3)\) 5's
*etc.
*Penteto equals \(f^{4}(5)\).
==Approximations==
==Sources==
==See also==
Category:Numbers
Category:Up-arrow notation level
Category:Numbers by Hyp cos
Category:3 entry linear
Category:Powers of 5