A198577 Decimal expansion of x > 0 satisfying 2*x^2-4*x = sin(x).

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

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

			2.186650783266906179585545275481794642104211222...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198414.

Programs

Mathematica

a = 2; b = -4; c = 1;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.2, 2.5}]
r = x /. FindRoot[f[x] == g[x], {x, 2.1, 2.2}, WorkingPrecision -> 110]
RealDigits[r] (* A198577 *)

Extensions

a(86) onwards corrected by Georg Fischer, Aug 01 2021