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A198926 Decimal expansion of x>0 satisfying 3*x^2-cos(x)=4. 2
1, 2, 0, 5, 1, 9, 8, 1, 8, 1, 7, 7, 5, 4, 6, 5, 2, 5, 7, 6, 8, 6, 1, 0, 3, 9, 7, 5, 4, 9, 5, 2, 8, 2, 7, 6, 5, 0, 4, 3, 3, 1, 4, 1, 5, 9, 2, 2, 6, 4, 2, 8, 1, 2, 4, 9, 8, 7, 7, 2, 4, 5, 2, 0, 9, 9, 6, 1, 1, 6, 4, 4, 4, 5, 0, 5, 4, 7, 3, 6, 0, 3, 5, 7, 4, 7, 0, 7, 5, 5, 3, 0, 2, 7, 7, 1, 8, 1, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A198755 for a guide to related sequences.  The Mathematica program includes a graph.

LINKS

Table of n, a(n) for n=1..99.

EXAMPLE

x=1.20519818177546525768610397549528276504331...

MATHEMATICA

a = 3; b = -1; c = 4;

f[x_] := a*x^2 + b*Cos[x]; g[x_] := c

Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]

r = x /. FindRoot[f[x] == g[x], {x, 1.2, 1.3}, WorkingPrecision -> 110]

RealDigits[r]  (* A198926 *)

CROSSREFS

Cf. A198755.

Sequence in context: A188449 A177267 A188445 * A082974 A167635 A192426

Adjacent sequences:  A198923 A198924 A198925 * A198927 A198928 A198929

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 31 2011

STATUS

approved

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Last modified April 24 13:28 EDT 2014. Contains 240983 sequences.