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 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 Table of n, a(n) for n=0..99. 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 Adjacent sequences: A364928 A364929 A364930 * A364932 A364933 A364934 KEYWORD nonn,cons AUTHOR Michal Paulovic, Aug 13 2023 STATUS approved

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