A302973 Decimal expansion of the solution to (1 + x)*x^x = (1 - x)^x.

2, 9, 3, 8, 6, 0, 0, 1, 3, 7, 8, 7, 3, 9, 9, 0, 3, 7, 5, 0, 9, 8, 3, 5, 1, 6, 4, 3, 5, 3, 4, 4, 7, 9, 2, 5, 9, 3, 5, 5, 3, 9, 4, 8, 9, 5, 7, 6, 3, 6, 7, 6, 2, 6, 3, 2, 4, 5, 8, 0, 0, 9, 6, 9, 2, 0, 4, 7, 4, 0, 2, 3, 2, 1, 3, 4, 9, 0, 1, 5, 4, 1, 5, 8, 2, 0, 7, 8, 0, 7, 3, 6, 9, 2, 4, 4, 4, 6, 3, 7, 8, 4, 8, 0

Offset

0,1

Links

Table of n, a(n) for n=0..103.

Example

0.2938600137873990375098351643534479...

Mathematica

Take[RealDigits[x /. FindRoot[(1 + x)*x^x == (1 - x)^x, {x, 1/2}, WorkingPrecision -> 120], 10][[1]], 105] (* Vaclav Kotesovec, Apr 17 2018 *)

Prog

(PARI) solve(x=1/10, 1, (1 + x)*x^x - (1 - x)^x) \\ Michel Marcus, Apr 16 2018

Crossrefs

Cf. A030798, A300304.

Sequence in context: A199604 A260525 A366249 * A258403 A270202 A171534

Adjacent sequences: A302970 A302971 A302972 * A302974 A302975 A302976

Keyword

nonn,cons

Author

Juri-Stepan Gerasimov, Apr 16 2018

Extensions

More digits from Alois P. Heinz, Apr 16 2018

Status

approved