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A198353 Decimal expansion of least x having 4*x^2+x=3*cos(x). 3
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 (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: -0.84250907415961557669109359901490911...

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 *)

CROSSREFS

Cf. A197737.

Sequence in context: A114321 A154434 A222301 * A010523 A231534 A014391

Adjacent sequences:  A198350 A198351 A198352 * A198354 A198355 A198356

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 23 2011

STATUS

approved

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Last modified July 30 04:51 EDT 2021. Contains 346348 sequences. (Running on oeis4.)