login
A199457
Decimal expansion of greatest x satisfying x^2-2*x*sin(x)=-3*cos(x).
2
2, 3, 3, 3, 8, 5, 4, 8, 5, 0, 2, 8, 5, 2, 9, 2, 1, 2, 8, 3, 3, 0, 3, 7, 1, 0, 9, 9, 3, 1, 7, 4, 8, 0, 5, 3, 9, 2, 4, 4, 2, 0, 9, 2, 5, 7, 3, 8, 2, 2, 0, 6, 5, 2, 3, 3, 3, 0, 4, 2, 7, 0, 8, 2, 5, 6, 1, 6, 1, 8, 9, 6, 9, 1, 7, 1, 8, 1, 0, 8, 0, 6, 6, 3, 5, 9, 9, 8, 3, 8, 0, 0, 8, 5, 0, 5, 9, 4, 9
OFFSET
1,1
COMMENTS
See A199429 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=2.333854850285292128330371099317480539244209...
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, 2.33, 2.34}, WorkingPrecision -> 110]
RealDigits[r] (* A199457 greatest root *)
CROSSREFS
Cf. A199429.
Sequence in context: A222292 A088041 A334579 * A361378 A347208 A210483
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 06 2011
STATUS
approved