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A198356 Decimal expansion of greatest x having 4*x^2+x=4*cos(x). 3
7, 4, 2, 4, 3, 7, 4, 8, 8, 9, 6, 5, 6, 0, 3, 3, 7, 8, 5, 1, 7, 2, 4, 5, 5, 3, 0, 1, 6, 4, 3, 2, 6, 3, 5, 3, 2, 0, 2, 8, 5, 6, 2, 4, 8, 9, 8, 5, 8, 2, 2, 6, 9, 0, 9, 3, 8, 1, 9, 4, 5, 2, 2, 9, 3, 3, 6, 2, 8, 9, 1, 7, 9, 5, 7, 6, 0, 6, 0, 6, 8, 0, 2, 1, 5, 9, 5, 3, 1, 4, 5, 8, 7, 7, 4, 9, 8, 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..97.

EXAMPLE

least x: -0.91555432657358705292706966750136951...

greatest x: 0.7424374889656033785172455301643263...

MATHEMATICA

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

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, -1, -.9}, WorkingPrecision -> 110]

RealDigits[r1] (* A198355 *)

r2 = x /. FindRoot[f[x] == g[x], {x, .74, .75}, WorkingPrecision -> 110]

RealDigits[r2] (* A198356 *)

CROSSREFS

Cf. A197737.

Sequence in context: A273093 A071185 A165244 * A254349 A019608 A245055

Adjacent sequences:  A198353 A198354 A198355 * A198357 A198358 A198359

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 24 2011

STATUS

approved

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Last modified December 10 12:30 EST 2019. Contains 329895 sequences. (Running on oeis4.)