A198607 Decimal expansion of x < 0 satisfying 3*x^2 + 4*x = 2*sin(x).

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

Offset: 0

Author

Clark Kimberling, Oct 28 2011

Keywords

• nonn
• cons

Comments

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

Examples

			-0.723293071335853335535036493209789739274570...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 0..10000
• Index entries for transcendental numbers.

Crossrefs

Cf. A198414.

Programs

Mathematica

a = 3; b = 4; c = 2;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, .1}]
r = x /. FindRoot[f[x] == g[x], {x, -.73, -.72}, WorkingPrecision -> 110]
RealDigits[r]  (* A198607 *)

PARI

solve(x=-1, -0.5, 3*x^2 + 4*x - 2*sin(x)) \\ Iain Fox, Dec 26 2017