A198605 Decimal expansion of x>0 satisfying 2*x^2=3*sin(x).

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

Offset: 1

Author

Clark Kimberling, Oct 27 2011

Keywords

• nonn
• cons

Comments

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

Examples

			1.176921059464366442841871452208606113369...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198414.

Programs

Mathematica

a = 2; b = 0; c = 3;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.1, 1.3}]
r = x /. FindRoot[f[x] == g[x], {x, 1.1, 1.2}, WorkingPrecision -> 110]
RealDigits[r] (* A198605 *)

PARI

solve(x=1,2,3*sin(x)-2*x^2) \\ Charles R Greathouse IV, Apr 18 2016