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A199661
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Decimal expansion of x>0 satisfying 2*x^2+2*x*cos(x)=3*sin(x).
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3
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5, 8, 1, 1, 4, 8, 2, 2, 7, 2, 0, 3, 4, 1, 2, 1, 1, 1, 9, 8, 6, 7, 9, 7, 6, 7, 4, 6, 2, 0, 6, 4, 9, 6, 4, 4, 1, 8, 5, 6, 1, 6, 2, 0, 1, 6, 1, 1, 7, 0, 7, 3, 7, 6, 2, 0, 1, 5, 4, 7, 9, 9, 6, 6, 0, 2, 2, 5, 9, 3, 2, 1, 8, 0, 0, 7, 7, 5, 4, 2, 9, 9, 7, 1, 8, 6, 2, 4, 3, 7, 4, 6, 6, 1, 7, 1, 7, 6, 0
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OFFSET
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0,1
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COMMENTS
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See A199597 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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x=0.5811482272034121119867976746206496441856...
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MATHEMATICA
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a = 2; b = 2; c = 3;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 1}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .58, .59}, WorkingPrecision -> 110]
RealDigits[r] (* A199661 *)
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CROSSREFS
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Cf. A199597.
Sequence in context: A199073 A199069 A020797 * A154856 A198746 A021176
Adjacent sequences: A199658 A199659 A199660 * A199662 A199663 A199664
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KEYWORD
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nonn,cons
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AUTHOR
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Clark Kimberling, Nov 09 2011
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STATUS
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approved
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