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A200497
Decimal expansion of least x>0 satisfying 2*x^2-2*x+1=tan(x).
2
4, 6, 5, 5, 4, 5, 2, 1, 5, 9, 7, 9, 7, 5, 5, 1, 3, 6, 9, 7, 8, 5, 6, 5, 8, 8, 3, 2, 1, 5, 8, 7, 7, 1, 4, 8, 5, 8, 7, 0, 5, 2, 3, 1, 4, 9, 5, 1, 7, 6, 6, 5, 9, 0, 6, 7, 6, 8, 7, 6, 8, 9, 1, 1, 0, 9, 3, 7, 2, 9, 9, 5, 7, 1, 3, 1, 9, 6, 8, 7, 7, 7, 8, 3, 8, 1, 5, 8, 4, 2, 5, 8, 0, 6, 1, 3, 6, 0, 4
OFFSET
0,1
COMMENTS
See A200338 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=0.465545215979755136978565883215877148587052...
MATHEMATICA
a = 2; b = -2; 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]
RealDigits[r] (* A200497 *)
CROSSREFS
Cf. A200338.
Sequence in context: A303404 A002245 A062117 * A271365 A088559 A092526
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 19 2011
STATUS
approved