A198419 Decimal expansion of x>0 having x^2+x=4*sin(x).

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

Offset: 1

Author

Clark Kimberling, Oct 24 2011

Keywords

• nonn
• cons

Comments

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

Examples

			1.561510991074269121873683207376952329215...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198414.

Programs

Mathematica

a = 1; b = 1; c = 4;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 2}]
r = x /. FindRoot[f[x] == g[x], {x, 1.56, 1.57}, WorkingPrecision -> 110]
RealDigits[r] (* A198419 *)

PARI

solve(x=1,2, x^2+x-4*sin(x)) \\ Charles R Greathouse IV, Jan 28 2025