A198558 Decimal expansion of x>0 having 2*x^2-2x=sin(x).

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

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=1.3595865299458294872436848587306971185...

Mathematica

a = 2; b = -2; c = 1;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.2, 2}]
r = x /. FindRoot[f[x] == g[x], {x, 1.3, 1.4}, WorkingPrecision -> 110]
RealDigits[r] (* A198558 *)

Crossrefs

Cf. A198414.

Sequence in context: A356527 A199612 A076844 * A286566 A286467 A231736

Adjacent sequences: A198555 A198556 A198557 * A198559 A198560 A198561

Keyword

nonn,cons

Author

Clark Kimberling, Oct 26 2011

Status

approved