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A198351 Decimal expansion of least x having 4*x^2+x=2*cos(x). 3
7, 4, 4, 2, 1, 9, 8, 9, 8, 5, 2, 7, 0, 6, 2, 4, 6, 8, 7, 3, 2, 7, 5, 8, 2, 8, 0, 0, 6, 3, 7, 0, 2, 8, 8, 5, 9, 7, 2, 5, 6, 8, 0, 7, 4, 5, 1, 0, 0, 1, 7, 4, 3, 0, 9, 4, 0, 6, 3, 6, 4, 2, 7, 1, 1, 7, 1, 2, 5, 8, 7, 0, 8, 7, 3, 8, 6, 9, 7, 0, 1, 5, 4, 8, 7, 0, 1, 4, 2, 1, 8, 2, 7, 1, 8, 3, 6, 2, 1 (list; constant; graph; refs; listen; history; text; internal format)
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: -0.74421989852706246873275828006370...

greatest x: 0.541418903172906711296921967206240...

MATHEMATICA

a = 4; b = 1; c = 2;

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, -.8, -.7}, WorkingPrecision -> 110]

RealDigits[r1] (* A198351 *)

r2 = x /. FindRoot[f[x] == g[x], {x, .5, .6}, WorkingPrecision -> 110]

RealDigits[r2]  (* A198352 *)

CROSSREFS

Cf. A197737.

Sequence in context: A100041 A193968 A153840 * A245074 A194474 A316161

Adjacent sequences:  A198348 A198349 A198350 * A198352 A198353 A198354

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 23 2011

STATUS

approved

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Last modified September 16 08:18 EDT 2021. Contains 347469 sequences. (Running on oeis4.)