OFFSET
0,1
COMMENTS
See A202322 for a guide to related sequences. The Mathematica program includes a graph.
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..5000
FORMULA
Equals W(e/2) - 1, where W(x) is the Lambert W-function. - G. C. Greubel, Jun 09 2017
EXAMPLE
x = -0.3149230578454060539717505194623698115859...
MATHEMATICA
u = 2; v = 2;
f[x_] := u*x + v; g[x_] := E^-x
Plot[{f[x], g[x]}, {x, -1, 1}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -.4, -.3}, WorkingPrecision -> 110]
RealDigits[r] (* A202353 *)
(* other program *)
RealDigits[ ProductLog[E/2] - 1, 10, 99] // First (* Jean-François Alcover, Feb 14 2013 *)
PROG
(PARI) lambertw(exp(1)/2) - 1 \\ G. C. Greubel, Jun 09 2017
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Dec 18 2011
STATUS
approved