A199784 Decimal expansion of x>0 satisfying 3*x^2-4*x*cos(x)=3*sin(x).

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

Offset

1,2

Comments

See A199597 for a guide to related sequences. The Mathematica program includes a graph.

Links

Table of n, a(n) for n=1..99.

Example

x=1.223054065511102571350480494721928691740...

Mathematica

a = 3; b = -4; c = 3;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.22, 1.23}, WorkingPrecision -> 110]
RealDigits[r]     (* A199784 *)

Crossrefs

Cf. A199597.

Sequence in context: A088864 A330925 A191361 * A349384 A127466 A342314

Adjacent sequences: A199781 A199782 A199783 * A199785 A199786 A199787

Keyword

nonn,cons

Author

Clark Kimberling, Nov 10 2011

Status

approved