A198415 Decimal expansion of x>0 having x^2 = 3*sin(x).

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

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

			x=1.72212511207672359941514007347177405819...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198414.

Programs

Maple

Digits:= 140:
fsolve(x^2-3*sin(x), x=1..2);  # Alois P. Heinz, Jan 29 2025

Mathematica

a = 1; b = 0; c = 3;
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, 1.7, 1.8}, WorkingPrecision -> 110]
RealDigits[r] (* A198415 *)

PARI

solve(x=1,2, x^2-3*sin(x)) \\ Charles R Greathouse IV, Jan 28 2025