A104751 Decimal expansion of solution to x^(3^x)=3.
1, 3, 0, 0, 9, 6, 2, 2, 2, 6, 3, 5, 8, 8, 5, 4, 3, 9, 2, 7, 3, 2, 6, 4, 0, 8, 5, 2, 6, 1, 8, 5, 6, 0, 5, 1, 0, 2, 4, 9, 8, 5, 5, 6, 9, 6, 8, 2, 9, 8, 4, 3, 1, 0, 8, 0, 6, 2, 9, 2, 5, 7, 3, 4, 4, 8, 0, 9, 9, 4, 0, 5, 6, 2, 3, 4, 7, 0, 8, 2, 5, 9, 4, 1, 8, 4, 6, 7, 3, 1, 7, 3, 2, 6, 4, 3, 1, 5, 5, 9, 8, 1, 2, 4, 7, 6, 6, 9, 1, 1, 9, 0, 3, 4, 5, 0, 9, 8, 7, 3
Offset: 1
Programs
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Mathematica
RealDigits[x/.FindRoot[x^(3^x)==3,{x,1.3},WorkingPrecision->120]][[1]] (* Harvey P. Dale, Aug 08 2012 *)
Formula
x = 1.3009622263588543927... ; x^(3^x)=3.
Extensions
More terms from Harvey P. Dale, Aug 08 2012