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A199793 Decimal expansion of x > 0 satisfying 3*x^2 - 2*x*cos(x) = sin(x). 2
7, 7, 6, 4, 4, 3, 1, 0, 8, 9, 0, 3, 8, 3, 8, 1, 0, 1, 9, 0, 9, 6, 6, 9, 9, 4, 9, 1, 6, 2, 9, 8, 2, 8, 8, 7, 9, 1, 8, 0, 0, 5, 1, 4, 7, 8, 0, 9, 6, 9, 7, 4, 8, 0, 0, 4, 9, 6, 7, 4, 3, 2, 3, 2, 8, 0, 2, 5, 3, 5, 0, 0, 9, 6, 6, 9, 9, 4, 8, 0, 5, 6, 9, 3, 4, 9, 4, 0, 5, 2, 8, 4, 9, 8, 9, 3, 2, 7, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
See A199597 for a guide to related sequences. The Mathematica program includes a graph.
LINKS
EXAMPLE
0.77644310890383810190966994916298288791800514780...
MATHEMATICA
a = 3; b = -2; c = 1;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .77, .78}, WorkingPrecision -> 110]
RealDigits[r] (* A199793 *)
CROSSREFS
Cf. A199597.
Sequence in context: A177436 A318139 A334850 * A202949 A354641 A019787
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 10 2011
EXTENSIONS
a(96) onwards corrected by Georg Fischer, Aug 03 2021
STATUS
approved

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Last modified July 13 00:23 EDT 2024. Contains 374259 sequences. (Running on oeis4.)