A333318 Decimal expansion of the number x that satisfies x^x = 2x as well as x != 2.
3, 4, 6, 3, 2, 3, 3, 6, 2, 2, 7, 8, 5, 8, 0, 9, 2, 2, 0, 6, 4, 8, 5, 6, 5, 5, 2, 1, 8, 0, 8, 8, 6, 7, 7, 2, 1, 1, 3, 5, 4, 5, 4, 5, 4, 6, 8, 2, 8, 2, 1, 0, 3, 8, 0, 1, 4, 4, 5, 1, 7, 3, 6, 9, 5, 1, 6, 0, 8, 4, 4, 7, 3, 1, 3, 5, 9, 3, 5, 9, 7, 7, 2, 3, 7, 3, 9, 6, 6, 7, 5, 2, 0, 7, 7, 3, 1, 9, 8, 9
Offset: 0
Examples
0.34632336227858092206485655218088677211354545468282...
Crossrefs
Cf. A030798.
Programs
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Mathematica
RealDigits[x/.FindRoot[-2 x + x^x == 0, {x, 1/2}, WorkingPrecision -> 120]][[1]] (* Michael De Vlieger, Mar 14 2020 *) -
PARI
solve(x=0.1, 1, x^x-2*x) \\ Michel Marcus, Mar 15 2020
Formula
x^x = 2x, x != 2.