login
A199510
Decimal expansion of x>0 satisfying 3*x^2-2*x*sin(x)=3*cos(x).
2
1, 0, 5, 1, 1, 1, 0, 2, 2, 8, 8, 4, 3, 7, 2, 8, 0, 1, 1, 4, 2, 5, 7, 1, 1, 4, 5, 8, 1, 1, 9, 4, 1, 9, 6, 8, 5, 1, 2, 4, 5, 1, 6, 6, 6, 3, 2, 2, 4, 9, 7, 1, 6, 7, 3, 6, 5, 4, 6, 3, 1, 8, 0, 3, 4, 1, 2, 6, 0, 5, 5, 7, 2, 6, 6, 1, 2, 0, 3, 1, 6, 1, 5, 6, 7, 4, 6, 9, 3, 5, 3, 2, 0, 3, 9, 3, 1, 8, 4
OFFSET
1,3
COMMENTS
See A199429 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=1.05111022884372801142571145811941968512...
MATHEMATICA
a = 3; 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, 1.05, 1.06}, WorkingPrecision -> 110]
RealDigits[r] (* A199510 *)
CROSSREFS
Cf. A199429.
Sequence in context: A196840 A162298 A196755 * A146306 A336697 A326073
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 07 2011
STATUS
approved