A199797 Decimal expansion of x>0 satisfying 3*x^2-x*cos(x)=sin(x).

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

Offset

0,1

Comments

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

Links

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

Example

x=0.5910476680725495873978098454642124730516901364280...

Mathematica

a = 3; b = -1; c = 1;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .59, .60}, WorkingPrecision -> 110]
RealDigits[r]    (* A199797 *)

Crossrefs

Cf. A199597.

Sequence in context: A019705 A269957 A201676 * A188616 A377559 A274418

Adjacent sequences: A199794 A199795 A199796 * A199798 A199799 A199800

Keyword

nonn,cons

Author

Clark Kimberling, Nov 10 2011

Status

approved