A303069 Decimal expansion of the solution to (1 + x)*x^(1 - x) = x^x.

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

Offset

0,1

Links

Table of n, a(n) for n=0..97.

Example

0.3540457879617583480777961737956436437965777229597272589...

Mathematica

RealDigits[x /. FindRoot[(1 + x)*x^(1 - x) == x^x, {x, 1/2}, WorkingPrecision -> 100]][[1]] (* Vaclav Kotesovec, Apr 29 2018 *)

Prog

(PARI) solve(x=1/3, 1, (1 + x)*x^(1 - x) - x^x) \\ Michel Marcus, Apr 18 2018

Crossrefs

Cf. A302973.

Sequence in context: A065974 A096822 A195383 * A086567 A016611 A198619

Adjacent sequences: A303066 A303067 A303068 * A303070 A303071 A303072

Keyword

nonn,cons

Author

Juri-Stepan Gerasimov, Apr 17 2018

Extensions

More terms from Michel Marcus, Apr 18 2018

Status

approved