A199055 Decimal expansion of x>0 satisfying x^2+3*sin(x)=1.

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

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: -1.946877744670682908335473546697723...
positive:  0.30675535413775300701165163473336014...

Mathematica

a = 1; b = 3; c = 1;
f[x_] := a*x^2 + b*Sin[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -3, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -2, -1.9}, WorkingPrecision -> 110]
RealDigits[r] (* A199054 *)
r = x /. FindRoot[f[x] == g[x], {x, .3, .31}, WorkingPrecision -> 110]
RealDigits[r] (* A199055 *)

Crossrefs

Cf. A198866.

Sequence in context: A201569 A056459 A021330 * A016598 A119583 A309604

Adjacent sequences: A199052 A199053 A199054 * A199056 A199057 A199058

Keyword

nonn,cons

Author

Clark Kimberling, Nov 02 2011

Status

approved