A199446 Decimal expansion of x>0 satisfying 3*x^2+x*sin(x)=cos(x).

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

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=0.47384797126377743099980158711442598591167180120...

Mathematica

a = 3; b = 1; c = 1;
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, .47, .48}, WorkingPrecision -> 110]
RealDigits[r] (* A199446 *)

Crossrefs

Cf. A199429.

Sequence in context: A271798 A190357 A296499 * A100127 A130204 A021215

Adjacent sequences: A199443 A199444 A199445 * A199447 A199448 A199449

Keyword

nonn,cons

Author

Clark Kimberling, Nov 06 2011

Status

approved