Bowers' Arrays I
Most Bowers' Arrays are immeasurably huge when evaluated, but some are within the bounds of comprehensibility. One of these moderately-sized arrays is . Evaluate this array.
Note: Bowers' Arrays are a fairly obscure notation. An explanation of them can be found here.
The answer is 7.6255975E+12.
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1 solution
{ 3 , 3 , 2 } = { 3 , { 3 , 2 , 2 } , 1 } (Rule 5)
{ 3 , { 3 , 2 , 2 } , 1 } = { 3 , { 3 , { 3 , 1 , 2 } , 1 } , 1 } (Rule 5)
{ 3 , { 3 , { 3 , 1 , 2 } , 1 } , 1 } = { 3 , { 3 , 3 , 1 } , 1 } (Rule 3)
{ 3 , { 3 , 3 , 1 } , 1 } = { 3 , { 3 , 3 } , 1 } (Rule 2)
{ 3 , { 3 , 3 } , 1 } = { 3 , 2 7 , 1 } (Rule 1)
{ 3 , 2 7 , 1 } = { 3 , 2 7 } (Rule 2)
{ 3 , 2 7 } ≈ 7 . 6 2 e 1 2 (Rule 1)