A199382 Decimal expansion of x>0 satisfying 2*x^2+2*x*sin(x)=1.

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

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=0.5053368393791721183196271047593796872804234060...

Mathematica

a = 2; b = 2; c = 1;
f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -1, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .50, .51}, WorkingPrecision -> 110]
RealDigits[r]   (* A199382 *)

Crossrefs

Cf. A199370.

Sequence in context: A073441 A202325 A337084 * A254289 A373022 A140240

Adjacent sequences: A199379 A199380 A199381 * A199383 A199384 A199385

Keyword

nonn,cons

Author

Clark Kimberling, Nov 05 2011

Status

approved