About: Aarex's Graham Generator   Sponge Permalink

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Aarex's Graham Generator is a googological function, based on Graham's function, invented by Aarex Tiaokhiao and notated as Forcala,b,#(n). Formally it is defined as follows: * # is the rest of the array * @ is a string of consecutive 1's (or can be empty) * Rule 1. When the only entry is 1 Forcal1(n) = GForcal1(n-1) (G stands for Graham's function) * Rule 2. When n=0: Forcal#(0) = 1000000 * Rule 3. a=1 and b>1: Forcal@,1,b,#(n) = Forcal@,Forcal@,1,b,#(n-1),b-1,#(1) * Rule 4. No subscripts: Forcal(n) = Forcal1(n) * Rule 5. Rules 1-4 don't apply: Forcala,#(n) = Forcala-1,#(Forcala,#(n-1))

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  • Aarex's Graham Generator
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  • Aarex's Graham Generator is a googological function, based on Graham's function, invented by Aarex Tiaokhiao and notated as Forcala,b,#(n). Formally it is defined as follows: * # is the rest of the array * @ is a string of consecutive 1's (or can be empty) * Rule 1. When the only entry is 1 Forcal1(n) = GForcal1(n-1) (G stands for Graham's function) * Rule 2. When n=0: Forcal#(0) = 1000000 * Rule 3. a=1 and b>1: Forcal@,1,b,#(n) = Forcal@,Forcal@,1,b,#(n-1),b-1,#(1) * Rule 4. No subscripts: Forcal(n) = Forcal1(n) * Rule 5. Rules 1-4 don't apply: Forcala,#(n) = Forcala-1,#(Forcala,#(n-1))
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abstract
  • Aarex's Graham Generator is a googological function, based on Graham's function, invented by Aarex Tiaokhiao and notated as Forcala,b,#(n). Formally it is defined as follows: * # is the rest of the array * @ is a string of consecutive 1's (or can be empty) * Rule 1. When the only entry is 1 Forcal1(n) = GForcal1(n-1) (G stands for Graham's function) * Rule 2. When n=0: Forcal#(0) = 1000000 * Rule 3. a=1 and b>1: Forcal@,1,b,#(n) = Forcal@,Forcal@,1,b,#(n-1),b-1,#(1) * Rule 4. No subscripts: Forcal(n) = Forcal1(n) * Rule 5. Rules 1-4 don't apply: Forcala,#(n) = Forcala-1,#(Forcala,#(n-1))
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