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caird coinheringaahing ♦
caird coinheringaahing ♦
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Graham's number G\$G\$ is defined in this way:

u(3,n,1) = 3^n u(3,1,m) = 3 u(3,n,m) = u(3,u(3,n-1,m),m-1) [Knuth's up-arrow notation] [Conway chained arrow notation] THEN g1 = u(3,3,4) g2 = u(3,3,g1) g3 = u(3,3,g2) ... G = u(3,3,g63)

\begin{align*} u(3,n,1) & = 3^n \\ u(3,1,m) & = 3 \\ u(3,n,m) & = u(3,u(3,n-1,m),m-1) \end{align*}

Then,

\begin{align*} g_1 & = u(3,3,4) \\ g_2 & = u(3,3,g_1) \\ g_3 & = u(3,3,g_2) \\ & \vdots \\ G & = u(3,3,g_{63}) \end{align*}

You are given that u(3,3,2)=7625597484987\$u(3,3,2)=7625597484987\$ to check your code.

Your task is to write a program/function that will output the value of G\$G\$ deterministically, given enough integer size and enough time.

Graham's number G is defined in this way:

u(3,n,1) = 3^n u(3,1,m) = 3 u(3,n,m) = u(3,u(3,n-1,m),m-1) [Knuth's up-arrow notation] [Conway chained arrow notation] THEN g1 = u(3,3,4) g2 = u(3,3,g1) g3 = u(3,3,g2) ... G = u(3,3,g63)

You are given that u(3,3,2)=7625597484987 to check your code.

Your task is to write a program/function that will output the value of G deterministically, given enough integer size and enough time.

Graham's number \$G\$ is defined in this way:

\begin{align*} u(3,n,1) & = 3^n \\ u(3,1,m) & = 3 \\ u(3,n,m) & = u(3,u(3,n-1,m),m-1) \end{align*}

Then,

\begin{align*} g_1 & = u(3,3,4) \\ g_2 & = u(3,3,g_1) \\ g_3 & = u(3,3,g_2) \\ & \vdots \\ G & = u(3,3,g_{63}) \end{align*}

You are given that \$u(3,3,2)=7625597484987\$ to check your code.

Your task is to write a program/function that will output the value of \$G\$ deterministically, given enough integer size and enough time.

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DJMcMayhem
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Edit leaderboard snippet to allow fractional scores (http://meta.codegolf.stackexchange.com/questions/5139/leaderboard-snippet#comment22637_5139)
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