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A198214 Decimal expansion of least x having 3*x^2+x=cos(x). 3
6, 9, 8, 6, 5, 6, 7, 0, 5, 5, 3, 2, 3, 6, 0, 2, 6, 2, 8, 3, 7, 9, 0, 4, 6, 5, 8, 4, 0, 1, 6, 6, 0, 3, 2, 2, 9, 3, 5, 4, 5, 6, 2, 1, 2, 5, 9, 4, 7, 3, 1, 4, 2, 0, 8, 0, 6, 8, 3, 5, 4, 7, 3, 7, 3, 9, 6, 9, 1, 5, 0, 7, 3, 5, 3, 1, 4, 2, 4, 1, 0, 5, 2, 4, 8, 3, 1, 7, 4, 7, 2, 5, 2, 1, 3, 2, 7, 8, 4 (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: -0.6986567055323602628379046584016603229...

greatest x: 0.41073056810531967884261632168842932...

MATHEMATICA

a = 3; 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, -.7, -0.6}, WorkingPrecision -> 110]

RealDigits[r1]  (* A198214 *)

r2 = x /. FindRoot[f[x] == g[x], {x, 4.1, 4.2}, WorkingPrecision -> 110]

RealDigits[r2] (* A198215 *)

CROSSREFS

Cf. A197737.

Sequence in context: A266563 A153603 A198557 * A233589 A199282 A133614

Adjacent sequences:  A198211 A198212 A198213 * A198215 A198216 A198217

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 22 2011

STATUS

approved

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Last modified May 25 16:08 EDT 2019. Contains 323572 sequences. (Running on oeis4.)