A198353 Decimal expansion of least x having 4*x^2+x=3*cos(x), negated.

8, 4, 2, 5, 0, 9, 0, 7, 4, 1, 5, 9, 6, 1, 5, 5, 7, 6, 6, 9, 1, 0, 9, 3, 5, 9, 9, 0, 1, 4, 9, 0, 9, 1, 1, 9, 8, 2, 9, 9, 6, 0, 2, 0, 0, 3, 7, 6, 2, 1, 2, 8, 2, 1, 7, 8, 5, 2, 9, 0, 5, 0, 6, 1, 5, 6, 6, 0, 7, 4, 9, 9, 8, 1, 0, 2, 1, 8, 5, 9, 6, 5, 1, 2, 5, 2, 4, 3, 6, 9, 6, 7, 1, 3, 1, 3, 6, 1, 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: -0.84250907415961557669109359901490911...
greatest x: 0.655996424452391548073107130869590...

Mathematica

a = 4; b = 1; c = 3;
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, -.9, -.8}, WorkingPrecision -> 110]
RealDigits[r1] (* A198353 *)
r2 = x /. FindRoot[f[x] == g[x], {x, .65, .66}, WorkingPrecision -> 110]
RealDigits[r2] (* A198354 *)

Prog

(PARI) solve(x=-.9, -.8, 4*x^2+x-3*cos(x)) \\ Charles R Greathouse IV, Apr 19 2026

Crossrefs

Cf. A197737.

Sequence in context: A114321 A154434 A222301 * A010523 A231534 A348908

Adjacent sequences: A198350 A198351 A198352 * A198354 A198355 A198356

Keyword

nonn,cons

Author

Clark Kimberling, Oct 23 2011

Status

approved