login
A200359
Decimal expansion of least x>0 satisfying 2*x^2+3=tan(x).
2
1, 4, 3, 0, 7, 5, 7, 4, 5, 7, 5, 9, 3, 5, 3, 5, 4, 4, 3, 5, 1, 5, 4, 9, 3, 9, 2, 8, 4, 7, 3, 2, 3, 8, 6, 5, 9, 6, 4, 0, 0, 4, 5, 0, 5, 7, 9, 1, 8, 9, 4, 7, 0, 8, 8, 2, 0, 0, 6, 2, 1, 2, 1, 0, 5, 6, 7, 2, 3, 6, 7, 5, 6, 1, 2, 1, 2, 3, 8, 9, 2, 7, 4, 3, 3, 6, 7, 2, 9, 7, 3, 2, 5, 8, 9, 1, 4, 7, 9
OFFSET
1,2
COMMENTS
See A200338 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=1.4307574575935354435154939284732386596400...
MATHEMATICA
a = 2; b = 0; c = 3;
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] (* A200359 *)
CROSSREFS
Cf. A200338.
Sequence in context: A019756 A154156 A152675 * A244346 A237818 A198240
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 17 2011
STATUS
approved