A226568 Decimal expansion of the number defined by x^x + x = 1.
3, 0, 3, 6, 5, 9, 1, 2, 7, 0, 2, 9, 9, 6, 6, 0, 5, 1, 2, 4, 5, 0, 1, 8, 9, 5, 1, 2, 1, 3, 2, 2, 2, 6, 5, 9, 9, 9, 1, 1, 9, 9, 6, 1, 8, 7, 6, 1, 1, 7, 2, 7, 0, 9, 6, 4, 4, 1, 7, 0, 3, 3, 4, 5, 6, 0, 6, 6, 1, 7, 6, 6, 6, 2, 0, 1, 3, 7, 7, 8, 4, 7, 8, 2, 3, 6, 6, 2, 0, 6, 2, 9, 3, 4, 8, 1, 6, 5, 4, 1, 8, 2, 0, 3, 3
Offset: 0
Examples
0.30365912702996605124501895121322265999119961876117270964417033...
Crossrefs
Cf. A085846.
Programs
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Mathematica
RealDigits[x/.FindRoot[x^x + x == 1, {x, 3.5}, WorkingPrecision -> 110]][[1]]
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PARI
solve(x=.3,1,x^x+x-1) \\ Charles R Greathouse IV, Apr 21 2016
Formula
Equals 1/(A085846+1). - Bruno Berselli, Jun 14 2013