A198427 Decimal expansion of x>0 having x^2-2x=sin(x).

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

Offset

1,1

Comments

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

Links

Table of n, a(n) for n=1..99.

Example

x=2.3169342886237397915227320498874409...

Mathematica

a = 1; b = -2; c = 1;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.2, 2.5}]
r = x /. FindRoot[f[x] == g[x], {x, 2.31, 2.32}, WorkingPrecision -> 110]
RealDigits[r] (* A198427 *)

Crossrefs

Cf. A198414.

Sequence in context: A054115 A100822 A347766 * A289905 A086211 A110189

Adjacent sequences: A198424 A198425 A198426 * A198428 A198429 A198430

Keyword

nonn,cons

Author

Clark Kimberling, Oct 25 2011

Status

approved