A199450 Decimal expansion of x>0 satisfying 3*x^2+2*x*sin(x)=2*cos(x).

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

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=0.58420418376332113990655937997471268148042...

Mathematica

a = 3; b = 2; 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, .58, .59}, WorkingPrecision -> 110]
RealDigits[r] (* A199450 *)

Crossrefs

Cf. A199429.

Sequence in context: A212194 A212162 A249445 * A366072 A019649 A224833

Adjacent sequences: A199447 A199448 A199449 * A199451 A199452 A199453

Keyword

nonn,cons

Author

Clark Kimberling, Nov 06 2011

Status

approved