A198112 Decimal expansion of least x having 2*x^2+x=cos(x), negated.

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

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.

Index entries for transcendental numbers.

Example

least x: -0.870316341177487538672405292348150615...
greatest x: 0.4639023825974119097567031695353505...

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 *)

Prog

(PARI) solve(x=-.9, -.8, 2*x^2+x-cos(x)) \\ Charles R Greathouse IV, Apr 19 2026

Crossrefs

Cf. A197737.

Sequence in context: A394287 A247017 A330142 * A358938 A213007 A155094

Adjacent sequences: A198109 A198110 A198111 * A198113 A198114 A198115

Keyword

nonn,cons

Author

Clark Kimberling, Oct 21 2011

Status

approved