A199793 Decimal expansion of x > 0 satisfying 3*x^2 - 2*x*cos(x) = sin(x).

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

Offset: 0

Author

Clark Kimberling, Nov 10 2011

Keywords

• nonn
• cons

Comments

See A199597 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			0.77644310890383810190966994916298288791800514780...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A199597.

Programs

Mathematica

a = 3; b = -2; c = 1;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .77, .78}, WorkingPrecision -> 110]
RealDigits[r]   (* A199793 *)

Extensions

a(96) onwards corrected by Georg Fischer, Aug 03 2021