Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
A199434
Decimal expansion of x>0 satisfying x^2+2*x*sin(x)=3*cos(x).
2
8, 4, 6, 9, 9, 7, 5, 3, 0, 0, 4, 5, 2, 4, 5, 5, 8, 9, 4, 0, 0, 8, 1, 0, 6, 3, 7, 5, 7, 0, 2, 2, 8, 6, 7, 9, 5, 2, 5, 1, 7, 8, 6, 7, 7, 4, 2, 8, 1, 1, 7, 7, 3, 5, 3, 1, 0, 2, 2, 1, 4, 9, 1, 7, 2, 9, 1, 9, 7, 2, 9, 1, 9, 6, 2, 6, 5, 0, 3, 5, 1, 8, 5, 4, 7, 1, 9, 9, 4, 4, 4, 2, 9, 3, 5, 3, 6, 5, 0
OFFSET
0,1
COMMENTS
See A199370 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=0.8469975300452455894008106375702286795251786774...
MATHEMATICA
a = 1; b = 2; c = 3;
f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .84, .85}, WorkingPrecision -> 110]
RealDigits[r] (* A199434 *)
CROSSREFS
Cf. A199429.
Sequence in context: A255987 A372858 A266556 * A253073 A090325 A090469
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 06 2011
STATUS
approved