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A198419
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Decimal expansion of x>0 having x^2+x=4*sin(x).
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2
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1, 5, 6, 1, 5, 1, 0, 9, 9, 1, 0, 7, 4, 2, 6, 9, 1, 2, 1, 8, 7, 3, 6, 8, 3, 2, 0, 7, 3, 7, 6, 9, 5, 2, 3, 2, 9, 2, 1, 5, 3, 4, 1, 6, 4, 4, 9, 4, 0, 3, 0, 7, 9, 1, 6, 9, 4, 8, 1, 2, 6, 9, 6, 6, 1, 9, 2, 4, 0, 2, 3, 0, 2, 1, 1, 8, 4, 8, 1, 0, 8, 5, 4, 8, 5, 7, 0, 4, 9, 4, 0, 4, 8, 4, 2, 0, 6, 7, 5
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OFFSET
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1,2
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COMMENTS
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See A198414 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=1.561510991074269121873683207376952329215...
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MATHEMATICA
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a = 1; b = 1; c = 4;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 2}]
r = x /. FindRoot[f[x] == g[x], {x, 1.56, 1.57}, 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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