A198417 Decimal expansion of x>0 having x^2+x=2*sin(x).

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

Offset

0,1

Comments

See A198414 for a guide to related sequences. The Mathematica program includes a graph.

Links

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

Example

x=0.795589873473925181806273259013035961...

Mathematica

a = 1; b = 1; c = 2;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 1}]
r = x /. FindRoot[f[x] == g[x], {x, .79, .80}, WorkingPrecision -> 110]
RealDigits[r] (* A198417 *)

Crossrefs

Cf. A198414.

Sequence in context: A093206 A070693 A369095 * A363687 A215736 A132715

Adjacent sequences: A198414 A198415 A198416 * A198418 A198419 A198420

Keyword

nonn,cons

Author

Clark Kimberling, Oct 24 2011

Status

approved