A199062 Decimal expansion of x>0 satisfying 2*x^2+sin(x)=1.

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

Offset

0,1

Comments

See A198866 for a guide to related sequences. The Mathematica program includes a graph.

Links

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

Example

negative: -0.9526097837113067137473480737923607058644...
positive:  0.507118928415373975363075182449851996957...

Mathematica

a = 2; b = 1; c = 1;
f[x_] := a*x^2 + b*Sin[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -.96, -.95}, WorkingPrecision -> 110]
RealDigits[r] (* A199061 *)
r = x /. FindRoot[f[x] == g[x], {x, .50, .51}, WorkingPrecision -> 110]
RealDigits[r] (* A199062 *)

Crossrefs

Cf. A198866.

Sequence in context: A325966 A134828 A292899 * A328900 A070595 A201656

Adjacent sequences: A199059 A199060 A199061 * A199063 A199064 A199065

Keyword

nonn,cons

Author

Clark Kimberling, Nov 02 2011

Status

approved