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A199059
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Decimal expansion of x > 0 satisfying x^2+3*sin(x) = 3.
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3
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8, 5, 6, 4, 3, 0, 5, 5, 5, 9, 0, 7, 5, 6, 1, 1, 7, 9, 4, 6, 3, 6, 3, 2, 5, 3, 8, 7, 5, 2, 4, 8, 2, 9, 7, 6, 0, 9, 8, 9, 3, 9, 8, 2, 3, 9, 7, 2, 4, 3, 4, 5, 1, 5, 7, 3, 3, 8, 4, 1, 3, 9, 9, 3, 0, 5, 3, 9, 4, 8, 8, 2, 7, 0, 6, 6, 5, 1, 9, 3, 8, 7, 2, 9, 7, 0, 9, 8, 5, 0, 5, 1, 4, 3, 8, 2, 6, 5, 9
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OFFSET
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0,1
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COMMENTS
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See A198866 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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negative: -2.2919650412674286490951331183944433...
positive: 0.8564305559075611794636325387524829760...
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MATHEMATICA
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a = 1; b = 3; c = 3;
f[x_] := a*x^2 + b*Sin[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -3, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -2.3, -2.2}, WorkingPrecision -> 110]
r = x /. FindRoot[f[x] == g[x], {x, .85, .86}, WorkingPrecision -> 110]
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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