login
A200493
Decimal expansion of least x>0 satisfying 2*x^2-x+1=tan(x).
2
1, 2, 2, 5, 1, 1, 8, 4, 0, 4, 9, 0, 9, 9, 7, 7, 2, 0, 4, 2, 0, 6, 0, 6, 4, 4, 3, 2, 8, 8, 6, 9, 5, 7, 7, 6, 6, 2, 2, 5, 2, 6, 6, 8, 6, 3, 4, 4, 6, 4, 3, 9, 0, 1, 0, 8, 6, 0, 1, 8, 6, 6, 8, 2, 4, 7, 8, 0, 9, 8, 7, 9, 6, 0, 6, 9, 4, 2, 7, 0, 3, 1, 2, 9, 7, 5, 6, 7, 2, 6, 7, 1, 9, 9, 5, 8, 8, 6, 0
OFFSET
1,2
COMMENTS
See A200338 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=1.22511840490997720420606443288695776622...
MATHEMATICA
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, 1.2, 1.3}, WorkingPrecision -> 110]
RealDigits[r] (* A200493 *)
CROSSREFS
Cf. A200338.
Sequence in context: A194123 A011342 A084046 * A267857 A173169 A016586
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 18 2011
STATUS
approved