OFFSET
0,1
COMMENTS
The number -0.588532... is the greatest negative root of e^x+sin(x), and 0.588532... is the least positive root of e^(-x)=sin(x). [From Clark Kimberling, Oct 02 2011]
EXAMPLE
-0.5885327439818610774324520457029036885312715161090305333199142995116725533...
MATHEMATICA
x /. FindRoot[ Exp[x] + Sin[x] == 0, {x, 0}, WorkingPrecision -> 110] // RealDigits[#, 10, 104]& // First (* Jean-François Alcover, Jun 18 2013 *)
PROG
(PARI) 300 significant digits : s=0; for(n=1, 250, s=s+sign(log(sin(s)^2)/2-s)/2^n; if(n>249, print1(s, ", ")))
(PARI) solve(x=0, 1, exp(-x)+sin(-x)) \\ Charles R Greathouse IV, Jun 18 2013
CROSSREFS
KEYWORD
AUTHOR
Benoit Cloitre, May 01 2002
EXTENSIONS
Digits beyond a(75) corrected by Jean-François Alcover, Jun 18 2013
STATUS
approved