A194624 Decimal expansion of the smaller solution to x^x = 3/4.
1, 5, 3, 5, 1, 6, 7, 8, 9, 6, 6, 3, 9, 5, 2, 9, 4, 7, 1, 5, 0, 0, 6, 8, 3, 3, 2, 9, 7, 8, 4, 6, 3, 2, 2, 7, 7, 1, 1, 2, 6, 9, 4, 8, 5, 4, 8, 9, 9, 6, 9, 6, 2, 0, 3, 1, 7, 9, 8, 5, 4, 2, 8, 3, 3, 4, 3, 7, 2, 6, 1, 3, 6, 4, 1, 9, 0, 5, 8, 3, 0, 2, 9, 3, 6, 8, 7, 6, 6, 0, 5, 3, 0, 1, 9, 3, 7, 1, 9, 4
Offset: 0
Examples
0.15351678966395294715006833297846322771126948548996962031798542833437261364190...
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, 0.1}, WorkingPrecision -> 120]; RealDigits[x, 10, 100] // First
Comments