A198113 Decimal expansion of greatest x having 2*x^2+x=cos(x).

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

Offset

0,1

Comments

See A197737 for a guide to related sequences. The Mathematica program includes a graph.

Links

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

Example

least x: -0.870316341177487538672405292348150615...
greatest x: 0.463902382597411909756703169535350589...

Mathematica

a = 2; b = 1; c = 1;
f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, -1, 1}]
r1 = x /. FindRoot[f[x] == g[x], {x, -0.88, -0.87}, WorkingPrecision -> 110]
RealDigits[r1](* A198112 *)
r2 = x /.FindRoot[f[x] == g[x], {x, 4.6, 4.7}, WorkingPrecision -> 110]
RealDigits[r2](* A198113 *)

Crossrefs

Cf. A197737.

Sequence in context: A273819 A276761 A073000 * A264962 A082193 A255767

Adjacent sequences: A198110 A198111 A198112 * A198114 A198115 A198116

Keyword

nonn,cons

Author

Clark Kimberling, Oct 21 2011

Status

approved