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A199458
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Decimal expansion of greatest x satisfying x^2-2*x*sin(x)=-2*cos(x).
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2
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2, 1, 7, 0, 8, 5, 3, 3, 9, 9, 9, 4, 4, 2, 6, 8, 4, 6, 6, 1, 8, 2, 9, 6, 7, 7, 8, 9, 6, 2, 4, 5, 3, 8, 9, 9, 3, 1, 8, 7, 7, 3, 3, 2, 7, 6, 9, 0, 3, 4, 8, 5, 9, 1, 8, 0, 8, 0, 1, 0, 9, 5, 9, 7, 0, 0, 1, 5, 1, 5, 5, 8, 6, 4, 8, 0, 9, 7, 7, 9, 1, 2, 2, 0, 6, 3, 3, 3, 8, 1, 2, 6, 1, 1, 7, 3, 3, 6, 7
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OFFSET
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1,1
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COMMENTS
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See A199370 for a guide to related sequences. The Mathematica program includes a graph.
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LINKS
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EXAMPLE
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x=2.17085339994426846618296778962453899318773...
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MATHEMATICA
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a = 1; b = -2; c = -2;
f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 2.17, 2.18}, WorkingPrecision -> 110]
RealDigits[r] (* A199458 greatest root *)
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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