login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A364931 Decimal expansion of the solution to 1 / (1 + e^(-x)) = x. 0
6, 5, 9, 0, 4, 6, 0, 6, 8, 4, 0, 7, 4, 0, 6, 6, 6, 0, 9, 8, 4, 3, 8, 6, 4, 9, 5, 9, 2, 8, 8, 6, 7, 5, 5, 1, 6, 9, 8, 0, 9, 0, 3, 3, 0, 3, 5, 7, 1, 1, 5, 1, 8, 8, 4, 8, 9, 2, 9, 4, 6, 3, 0, 8, 0, 4, 2, 2, 4, 1, 1, 3, 0, 4, 2, 4, 2, 9, 7, 5, 7, 5, 7, 9, 0, 3, 4, 7, 3, 5, 6, 4, 8, 2, 8, 2, 0, 1, 0, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
Fixed point of sigmoid (standard logistic function) as well as its inverse (logit).
LINKS
Eric Weisstein's World of Mathematics, Sigmoid Function.
Wikipedia, Logistic Function.
EXAMPLE
0.6590460684074066...
MAPLE
Digits:=100: fsolve(1/(1+exp(-x))-x, x);
MATHEMATICA
RealDigits[FindRoot[1/(1+Exp[-x])-x, {x, 0.6}, WorkingPrecision -> 100][[1, 2]], 10, 100][[1]]
PROG
(PARI) default(realprecision, 100); solve(x=0.4, 0.7, 1/(1+exp(-x))-x)
CROSSREFS
Sequence in context: A272696 A048236 A193719 * A195700 A275110 A011284
KEYWORD
nonn,cons
AUTHOR
Michal Paulovic, Aug 13 2023
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 14 09:06 EDT 2024. Contains 371657 sequences. (Running on oeis4.)