A199440 Decimal expansion of x>0 satisfying 2*x^2+x*sin(x)=3*cos(x).

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

Offset

0,1

Comments

See A199370 for a guide to related sequences. The Mathematica program includes a graph.

Links

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

Example

x=0.83501463232373288838620611231697442185343590...

Mathematica

a = 2; b = 1; 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, .83, .84}, WorkingPrecision -> 110]
RealDigits[r]  (* A199440 *)

Crossrefs

Cf. A199429.

Sequence in context: A209059 A202779 A328498 * A199293 A357108 A110234

Adjacent sequences: A199437 A199438 A199439 * A199441 A199442 A199443

Keyword

nonn,cons

Author

Clark Kimberling, Nov 06 2011

Status

approved