A199278 Decimal expansion of x>0 satisfying 2*x^2+3*x*cos(x)=3.

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

Offset

0,1

Comments

See A199170 for a guide to related sequences. The Mathematica program includes a graph.

Links

Table of n, a(n) for n=0..98.

Index entries for transcendental numbers.

Example

negative: -1.3773686718388251570629963805293335...
positive:  0.8134750235542935510898993411693045...

Mathematica

a = 2; b = 3; c = 3;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -1.4, -1.3}, WorkingPrecision -> 110]
RealDigits[r]    (* A199277 *)
r = x /. FindRoot[f[x] == g[x], {x, .81, .82}, WorkingPrecision -> 110]
RealDigits[r]   (* A199278 *)

Crossrefs

Cf. A199170.

Sequence in context: A019607 A203817 A196932 * A011391 A092515 A193032

Adjacent sequences: A199275 A199276 A199277 * A199279 A199280 A199281

Keyword

nonn,cons

Author

Clark Kimberling, Nov 04 2011

Status

approved