A104753 Decimal expansion of solution to x^(5^x)=5.
1, 2, 4, 3, 1, 4, 7, 4, 0, 7, 2, 3, 5, 6, 6, 4, 5, 3, 1, 6, 9, 8, 4, 3, 7, 2, 6, 4, 9, 3, 4, 4, 8, 6, 7, 2, 2, 4, 6, 9, 2, 5, 9, 0, 8, 7, 1, 7, 5, 5, 7, 0, 0, 5, 3, 8, 8, 9, 2, 3, 4, 5, 1, 8, 6, 2, 5, 7, 3, 0, 3, 9, 4, 1, 0, 6, 8, 7, 4, 9, 0, 6, 3, 6, 2, 3
Offset: 1
Programs
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Mathematica
RealDigits[x/.FindRoot[x^5^x==5,{x,1},WorkingPrecision->120]][[1]] (* Harvey P. Dale, Mar 09 2015 *)
Formula
x=1.243147407235664531698; x^(5^x)=5
Extensions
More terms from Harvey P. Dale, Mar 09 2015