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A200004
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Decimal expansion of least x satisfying x^2+cos(x)=4*sin(x).
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3
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2, 8, 4, 1, 5, 5, 4, 2, 5, 1, 7, 7, 1, 4, 8, 1, 4, 9, 1, 6, 8, 0, 5, 3, 6, 2, 8, 8, 7, 3, 5, 4, 4, 3, 3, 1, 0, 5, 0, 2, 6, 1, 5, 3, 6, 0, 2, 5, 8, 1, 3, 5, 3, 6, 8, 0, 9, 3, 6, 7, 6, 7, 1, 4, 5, 7, 3, 3, 4, 3, 5, 2, 2, 1, 4, 0, 1, 8, 7, 8, 6, 5, 4, 8, 3, 5, 5, 8, 2, 8, 9, 0, 5, 2, 9, 2, 9, 0, 6
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OFFSET
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0,1
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COMMENTS
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See A199949 for a guide to related sequences. The Mathematica program includes a graph.
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LINKS
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Table of n, a(n) for n=0..98.
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EXAMPLE
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least x: 0.2841554251771481491680536288735443310...
greatest x: 1.36083225539066890467183928569132636...
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MATHEMATICA
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a = 2; b = 1; c = 4;
f[x_] := a*x^2 + b*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, .28, .29}, WorkingPrecision -> 110]
RealDigits[r] (* A200004 *)
r = x /. FindRoot[f[x] == g[x], {x, 1.3, 1.4}, WorkingPrecision -> 110]
RealDigits[r] (* A200005 *)
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CROSSREFS
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Cf. A199949.
Sequence in context: A158934 A021356 A030345 * A152626 A093823 A088154
Adjacent sequences: A200001 A200002 A200003 * A200005 A200006 A200007
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KEYWORD
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nonn,cons
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AUTHOR
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Clark Kimberling, Nov 12 2011
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STATUS
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approved
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