A199506 Decimal expansion of x>0 satisfying 3*x^2-x*sin(x)=2*cos(x).

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

Offset

0,1

Comments

See A199429 for a guide to related sequences. The Mathematica program includes a graph.

Links

Table of n, a(n) for n=0..98.

Example

x=0.809476415875062266835317913845989194004148255...

Mathematica

a = 3; b = -1; c = 2;
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, .80, .81}, WorkingPrecision -> 110]
RealDigits[r]   (* A199506 *)

Crossrefs

Cf. A199429.

Sequence in context: A138285 A085291 A109219 * A154803 A254178 A166529

Adjacent sequences: A199503 A199504 A199505 * A199507 A199508 A199509

Keyword

nonn,cons

Author

Clark Kimberling, Nov 07 2011

Status

approved