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A198986
Decimal expansion of x>0 satisfying 4*x^2+3*cos(x)=4.
2
6, 2, 6, 4, 1, 9, 2, 4, 4, 3, 8, 2, 3, 3, 8, 2, 3, 8, 2, 8, 4, 6, 0, 4, 5, 1, 5, 4, 3, 9, 7, 2, 5, 1, 1, 8, 6, 0, 0, 3, 3, 3, 2, 8, 8, 8, 3, 2, 6, 8, 4, 1, 3, 0, 5, 5, 6, 8, 1, 9, 0, 2, 6, 2, 2, 5, 1, 8, 5, 6, 9, 6, 6, 0, 6, 7, 4, 4, 0, 1, 2, 8, 9, 1, 8, 1, 0, 1, 0, 8, 0, 7, 3, 1, 7, 9, 4, 4, 9
OFFSET
0,1
COMMENTS
See A198755 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=0.626419244382338238284604515439725118600333...
MATHEMATICA
a = 4; b = 3; 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, .62, .63}, WorkingPrecision -> 110]
RealDigits[r] (* A198986 *)
CROSSREFS
Cf. A198755.
Sequence in context: A319262 A126664 A266389 * A236190 A198227 A199505
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 01 2011
STATUS
approved