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A199395
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Decimal expansion of x>0 satisfying 3*x^2+3*x*sin(x)=2.
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1
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5, 8, 5, 6, 3, 5, 4, 7, 6, 4, 9, 1, 1, 1, 7, 7, 7, 8, 2, 0, 0, 5, 9, 9, 5, 4, 4, 5, 5, 9, 5, 9, 2, 3, 2, 4, 9, 0, 9, 9, 8, 7, 7, 8, 4, 7, 4, 5, 6, 3, 3, 2, 8, 8, 2, 7, 8, 4, 2, 1, 7, 7, 4, 8, 8, 1, 2, 4, 5, 4, 0, 1, 1, 4, 7, 5, 5, 0, 2, 1, 7, 2, 6, 1, 5, 7, 1, 7, 0, 6, 6, 5, 0, 2, 1, 1, 2, 9, 1
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OFFSET
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0,1
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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=0.585635476491117778200599544559592324909987784745...
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MATHEMATICA
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a = 3; b = 3; c = 2;
f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -1, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .58, .59}, WorkingPrecision -> 110]
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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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