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A199871
Decimal expansion of x > 0 satisfying 4*x^2 - 3*x*cos(x) = sin(x).
2
7, 6, 6, 4, 9, 1, 2, 1, 3, 5, 7, 0, 1, 7, 9, 1, 4, 9, 8, 5, 2, 7, 0, 4, 1, 1, 4, 6, 2, 4, 8, 3, 7, 3, 6, 0, 4, 9, 3, 0, 2, 7, 0, 1, 3, 9, 4, 2, 2, 4, 2, 9, 7, 2, 0, 9, 8, 9, 2, 4, 1, 9, 9, 7, 5, 4, 6, 7, 2, 8, 7, 8, 6, 5, 3, 6, 3, 4, 7, 3, 9, 0, 5, 9, 7, 7, 0, 0, 7, 5, 2, 7, 6, 4, 5, 5, 2, 8, 6, 6
OFFSET
0,1
COMMENTS
See A199597 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
0.7664912135701791498527041146248373604930270139422...
MATHEMATICA
a = 4; b = -3; c = 1;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .76, .77}, WorkingPrecision -> 110]
RealDigits[r] (* A199871 *)
CROSSREFS
Cf. A199597.
Sequence in context: A109696 A257233 A110948 * A103616 A290570 A073084
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 11 2011
EXTENSIONS
a(96) onwards corrected by Georg Fischer, Aug 03 2021
STATUS
approved