A200093 Decimal expansion of least x satisfying x^2 - 3*cos(x) = 2*sin(x), negated.

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

Offset

0,1

Comments

See A199949 for a guide to related sequences. The Mathematica program includes a graph.

Links

G. C. Greubel, Table of n, a(n) for n = 0..10000

Example

least x:  -0.8029921542978842507203354534748712742...
greatest x: 1.492665923525132206969243059834936861...

Mathematica

a = 1; b = -3; c = 2;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -.81, -.80}, WorkingPrecision -> 110]
RealDigits[r]  (* A200093 *)
r = x /. FindRoot[f[x] == g[x], {x, 1.49, 1.50}, WorkingPrecision -> 110]
RealDigits[r]  (* A200094 *)

Prog

(PARI) a=1; b=-3; c=2; solve(x=-1, 0, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jun 24 2018

Crossrefs

Cf. A199949.

Sequence in context: A331542 A295330 A094240 * A179068 A144455 A251866

Adjacent sequences: A200090 A200091 A200092 * A200094 A200095 A200096

Keyword

nonn,cons

Author

Clark Kimberling, Nov 13 2011

Status

approved