A198547 Decimal expansion of x>0 having 2*x^2-x=2*sin(x).

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

Offset

1,2

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=1.2567768959612717304418911512656718686...

Mathematica

a = 2; b = -1; c = 2;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.1, 1.5}]
r = x /. FindRoot[f[x] == g[x], {x, 1.25, 1.26}, WorkingPrecision -> 110]
RealDigits[r] (* A198547 *)

Crossrefs

Cf. A198414.

Sequence in context: A146099 A004097 A262368 * A120678 A078384 A057544

Adjacent sequences: A198544 A198545 A198546 * A198548 A198549 A198550

Keyword

nonn,cons

Author

Clark Kimberling, Oct 26 2011

Status

approved