A199379 Decimal expansion of x>0 satisfying 2*x^2+x*sin(x)=1.

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

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=0.58278107251980976106714060622305725453...

Mathematica

a = 2; b = 1; c = 1;
f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -1, 2 Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .58, .59}, WorkingPrecision -> 110]
RealDigits[r]   (* A199379 *)

Crossrefs

Cf. A199370.

Sequence in context: A238166 A227417 A260061 * A198844 A156035 A284697

Adjacent sequences: A199376 A199377 A199378 * A199380 A199381 A199382

Keyword

nonn,cons

Author

Clark Kimberling, Nov 05 2011

Status

approved