A194625 Decimal expansion of the larger solution to x^x = 3/4.
6, 3, 6, 2, 6, 2, 9, 3, 9, 2, 9, 4, 5, 3, 1, 0, 1, 9, 9, 8, 7, 5, 1, 3, 7, 5, 5, 2, 0, 4, 2, 3, 3, 1, 7, 3, 1, 1, 7, 8, 6, 7, 0, 5, 7, 9, 3, 6, 2, 6, 2, 2, 9, 4, 8, 8, 6, 5, 4, 0, 6, 4, 5, 4, 0, 6, 3, 8, 9, 2, 1, 4, 4, 0, 2, 7, 9, 9, 2, 7, 3, 3, 9, 0, 9, 1, 4, 8, 0, 5, 4, 8, 9, 4, 6, 9, 6, 2, 0, 7
Offset: 0
Examples
0.636262939294531019987513755204233173117867057936262294886540645406389214402799...
Links
- J. Sondow and D. Marques, Algebraic and transcendental solutions of some exponential equations, Annales Mathematicae et Informaticae 37 (2010) 151-164.
- Index entries for transcendental numbers
Programs
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Mathematica
x = x /. FindRoot[x^x == 3/4, {x, 0.7}, WorkingPrecision -> 120]; RealDigits[x, 10, 100] // First
Comments