OFFSET
1,2
COMMENTS
See A202320 for a guide to related sequences. The Mathematica program includes a graph.
LINKS
G. C. Greubel, Table of n, a(n) for n = 1..10000
FORMULA
Equals -LambertW(-1, -1/exp(1+1/e)) - 1/e. - Andrea Pinos, Sep 12 2023
EXAMPLE
x = 1.750786722680146367570014877255332...
MATHEMATICA
u = E; v = 1;
f[x_] := u*x + v; g[x_] := E^x
Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.7, 1.8}, WorkingPrecision -> 110]
RealDigits[r] (* A202350 *)
(* alternate program *)
RealDigits[(-1 - E*ProductLog[-1, -E^(-1-1/E)])/E, 10, 99] // First (* Jean-François Alcover, Feb 27 2013 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Dec 17 2011
STATUS
approved