A199787 Decimal expansion of x>0 satisfying 3*x^2-3*x*cos(x)=4*sin(x).

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

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=1.28190547398340537738455485683475852243974430...

Mathematica

a = 3; b = -3; c = 4;
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, 1.28, 1.29}, WorkingPrecision -> 110]
RealDigits[r]     (* A199787 *)

Crossrefs

Cf. A199597.

Sequence in context: A244688 A086037 A343487 * A165274 A221074 A065249

Adjacent sequences: A199784 A199785 A199786 * A199788 A199789 A199790

Keyword

nonn,cons

Author

Clark Kimberling, Nov 10 2011

Status

approved