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A200360
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Decimal expansion of least x>0 satisfying 2*x^2+x+1=tan(x).
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2
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1, 4, 1, 6, 4, 9, 7, 8, 3, 4, 1, 7, 8, 0, 0, 1, 3, 0, 2, 3, 8, 7, 9, 2, 6, 6, 8, 6, 2, 7, 1, 0, 0, 2, 9, 1, 7, 7, 9, 8, 4, 0, 3, 9, 5, 7, 6, 9, 1, 4, 6, 0, 4, 0, 7, 0, 7, 5, 6, 3, 9, 8, 0, 6, 1, 4, 9, 1, 8, 4, 9, 2, 3, 4, 8, 3, 5, 0, 6, 8, 1, 8, 1, 1, 8, 9, 5, 5, 2, 8, 2, 4, 8, 0, 2, 9, 1, 6, 1, 5, 6, 6, 5
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OFFSET
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1,2
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COMMENTS
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See A200338 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=1.41649783417800130238792668627100291779840...
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MATHEMATICA
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a = 2; b = 1; c = 1;
f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, 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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