A198501 Decimal expansion of x>0 having 3*x^2=sin(x).

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

Offset: 0

Author

Clark Kimberling, Oct 25 2011

Keywords

• nonn
• cons

Comments

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

Examples

			0.3274097742770375923356640810621082...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198414.

Programs

Mathematica

a = 3; b = 0; c = 1;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.5, .5}]
r = x /. FindRoot[f[x] == g[x], {x, .32, .33}, WorkingPrecision -> 110]
RealDigits[r] (* A198501 *)

PARI

solve(x=.3,1,sin(x)-3*x^2) \\ Charles R Greathouse IV, Mar 25 2015