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A200122
Decimal expansion of least x satisfying 2*x^2 - 3*cos(x) = 2*sin(x), negated.
3
7, 0, 4, 1, 5, 9, 4, 5, 7, 0, 3, 7, 1, 2, 2, 5, 5, 2, 6, 8, 1, 0, 5, 8, 3, 3, 3, 4, 9, 9, 4, 8, 3, 4, 8, 2, 1, 0, 8, 4, 3, 1, 6, 2, 4, 3, 5, 8, 1, 8, 1, 8, 9, 5, 8, 7, 2, 3, 4, 8, 6, 8, 3, 2, 0, 2, 1, 0, 3, 1, 9, 1, 2, 5, 1, 0, 3, 4, 6, 4, 2, 0, 1, 2, 0, 4, 1, 8, 7, 0, 2, 4, 7, 1, 3, 4, 6, 5, 4
OFFSET
0,1
COMMENTS
See A199949 for a guide to related sequences. The Mathematica program includes a graph.
LINKS
EXAMPLE
least x: -0.70415945703712255268105833349948348210...
greatest x: 1.210301102156057859192844246759434780...
MATHEMATICA
a = 2; b = -3; c = 2;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -.71, -.70}, WorkingPrecision -> 110]
RealDigits[r] (* A200122 *)
r = x /. FindRoot[f[x] == g[x], {x, 1.2, 1.3}, WorkingPrecision -> 110]
RealDigits[r] (* A200123 *)
PROG
(PARI) a=2; b=-3; c=2; solve(x=-1, 0, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jun 29 2018
CROSSREFS
Cf. A199949.
Sequence in context: A316599 A077185 A020830 * A245637 A286193 A021146
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 14 2011
STATUS
approved