A199376 Decimal expansion of x>0 satisfying x^2+3*x*sin(x)=1.

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

Offset: 0

Author

Clark Kimberling, Nov 05 2011

Keywords

• nonn
• cons

Comments

See A199370 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			0.5081616569683919181277676293409924461...
		

Links

• Index entries for transcendental numbers.

Programs

Mathematica

a = 1; b = 3; c = 1;
f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -1, 2 Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .50, .51}, WorkingPrecision -> 110]
RealDigits[r]    (* A199376 *)

PARI

solve(x=0,1,x^2+3*x*sin(x)-1) \\ Charles R Greathouse IV, Dec 28 2011