User blog:Wythagoras/My Numbers

Dollar function numbers
Prefixes:

Grand 2

Great 3

Bigrand 4

Grand Great 5

Bigreat 6

Great Bigrand 7

Grand Bigreat 8

Trigreat 9

Superior 10

Bisuperior 20

Glorious 100

Perfect 1000

These prefixes are needed for the following numbers:

Deal Group: 1000$[a]

a means prefix, for example Glorious Deal = 1000$[100]

Dollars Group: 1000$[1000]_a

BigDollars: 1000$[1000]_[1000]

DollarsBin: 1000$[1000]_[1000]_[1000]

Gold Group: 1000$[a,a,a...a,a,a] a a's

Gold Rush Group: 1000$[a\(\rightarrow_{a}\)a\(\rightarrow_{a}\)a...a\(\rightarrow_{a}\)a\(\rightarrow_{a}\)a] a a's

Economy Group: 1000$[0]&a

Cash Group: 1000$[0]&_a[0]

KAI X~
KAI X~ is a number similar to BOX M~.

a!(0) = a!

a!(b) = ((...((a!(b-1#))!(b-1#))...)!(b-1#))!(b-1#)

a!(0,0...0,0,0,b#) = a!(0,0...0,0,a,b-1#)

alpha_(0)(a) = a!(a,a...a,a)

beta_(0)(a) = alpha_(a,a...a,a) arrays work the same:


 * 1) _b(a) = #_(b-1)(#_(b-1)(...(#_(b-1)(a))...)


 * _(0,0...0,0,0,b#)(a) = #_(0,0...0,0,a,b-1#)(a)

X(1) = Omega_75!(75!)

X(n) = Omega_(X(n-1)!)(X(n-1)!)

U = 75!(75!(...(75!(75!))...) with 75! nests

U~ = X(X(X(...(X(X(U)))...))) with U nests

KAI(1) = X(X(X(...(X(X(U~)))...))) with U~ nests

KAI(n) = X(X(X(...(X(X(KAI(n-1))))...))) with KAI(n-1) nests

KAI U~ = KAI(U~)

KAI X~ = KAI(KAI(...(KAI(KAI(KAI U~)))...))