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A200130
Decimal expansion of least x satisfying 2*x^2 - 4*cos(x) = 3*sin(x), negated.
3
7, 1, 9, 0, 0, 5, 0, 6, 4, 5, 5, 8, 8, 4, 2, 9, 2, 7, 8, 5, 9, 2, 7, 1, 7, 8, 0, 8, 4, 8, 1, 7, 9, 3, 8, 2, 5, 0, 1, 8, 8, 0, 5, 3, 7, 6, 4, 8, 4, 5, 9, 1, 3, 3, 2, 1, 2, 0, 0, 9, 5, 6, 6, 5, 6, 9, 8, 1, 1, 8, 6, 6, 8, 2, 2, 3, 9, 7, 3, 4, 6, 3, 5, 2, 1, 2, 0, 8, 0, 3, 0, 7, 4, 9, 1, 1, 9, 4, 1
OFFSET
0,1
COMMENTS
See A199949 for a guide to related sequences. The Mathematica program includes a graph.
LINKS
EXAMPLE
least x: -0.71900506455884292785927178084817...
greatest x: 1.368149112042067667997699108890...
MATHEMATICA
a = 2; b = -4; c = 3;
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, -.72, -.71}, WorkingPrecision -> 110]
RealDigits[r] (* A200130 *)
r = x /. FindRoot[f[x] == g[x], {x, 1.36, 1.37}, WorkingPrecision -> 110]
RealDigits[r] (* A200131 *)
PROG
(PARI) a=2; b=-4; c=3; solve(x=-1, 0, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jul 01 2018
CROSSREFS
Cf. A199949.
Sequence in context: A111293 A375192 A019661 * A298751 A284151 A370467
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 14 2011
STATUS
approved