A202496 - OEIS

%I #8 Feb 27 2013 05:27:18

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

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

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

%N Decimal expansion of x satisfying x=e^(-x-2).

%C See A202348 for a guide to related sequences.  The Mathematica program includes a graph.

%e x=0.120028238987641229484687975271849244939147...

%t u = -1; v = -2;

%t f[x_] := x; g[x_] := E^(u*x + v)

%t Plot[{f[x], g[x]}, {x, -1, 1}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[f[x] == g[x], {x, .12, .13}, WorkingPrecision -> 110]

%t RealDigits[r]   (* A202496 *)

%t RealDigits[ ProductLog[1/E^2], 10, 99] // First (* _Jean-François Alcover_, Feb 27 2013 *)

%Y Cf. A202348.

%K nonn,cons

%O 0,2

%A _Clark Kimberling_, Dec 20 2011