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199093 changed files with 3378972 additions and 0 deletions
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$RecursionLimit=Infinity
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Ackermann1[m_,n_]:=
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If[m==0,n+1,
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If[ n==0,Ackermann1[m-1,1],
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Ackermann1[m-1,Ackermann1[m,n-1]]
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]
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]
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Ackermann2[0,n_]:=n+1;
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Ackermann2[m_,0]:=Ackermann1[m-1,1];
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Ackermann2[m_,n_]:=Ackermann1[m-1,Ackermann1[m,n-1]]
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Flatten[#,1]&@Table[{"Ackermann2["<>ToString[i]<>","<>ToString[j]<>"] =",Ackermann2[i,j]},{i,3},{j,8}]//Grid
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@ -0,0 +1,24 @@
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Ackermann2[1,1] = 3
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Ackermann2[1,2] = 4
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Ackermann2[1,3] = 5
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Ackermann2[1,4] = 6
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Ackermann2[1,5] = 7
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Ackermann2[1,6] = 8
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Ackermann2[1,7] = 9
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Ackermann2[1,8] = 10
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Ackermann2[2,1] = 5
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Ackermann2[2,2] = 7
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Ackermann2[2,3] = 9
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Ackermann2[2,4] = 11
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Ackermann2[2,5] = 13
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Ackermann2[2,6] = 15
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Ackermann2[2,7] = 17
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Ackermann2[2,8] = 19
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Ackermann2[3,1] = 13
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Ackermann2[3,2] = 29
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Ackermann2[3,3] = 61
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Ackermann2[3,4] = 125
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Ackermann2[3,5] = 253
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Ackermann2[3,6] = 509
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Ackermann2[3,7] = 1021
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Ackermann2[3,8] = 2045
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@ -0,0 +1,8 @@
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Clear[Ackermann3]
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$RecursionLimit=Infinity;
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Ackermann3[0,n_]:=n+1;
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Ackermann3[1,n_]:=n+2;
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Ackermann3[2,n_]:=3+2n;
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Ackermann3[3,n_]:=5+8 (2^n-1);
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Ackermann3[m_,0]:=Ackermann3[m-1,1];
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Ackermann3[m_,n_]:=Ackermann3[m-1,Ackermann3[m,n-1]]
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Ackermann3[4, 1]
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Ackermann3[4, 2]
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@ -0,0 +1,2 @@
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65533
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2003529930406846464979072351560255750447825475569751419265016973710894059556311453089506130880........699146577530041384717124577965048175856395072895337539755822087777506072339445587895905719156733
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